Detroit Tigers First-Place Clinch Scenario

Detroit's traditional magic number (relative to second-place Cleveland) is 79 + 12 - 85 + 1 = 7.
Detroit's first-place clinch number is also 7.
Detroit must win 7 more games (92 total) to clinch first place.

If Detroit wins 7 more games, their final win total will be at least 92.
The table below shows the best case scenario for each of the other teams if Detroit wins 7 of their remaining 11 games and loses the other 4.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to Detroit' column gives the
minimum number of games that each team will lose to Detroit if Detroit wins 7 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Detroit, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Detroit	Maximum W
Cleveland        79	71	12	       5 - 4 = 1	90
Kansas City      75	76	11	               0	86
Minnesota        66	85	11	               0	77
Chicago          57	95	10	               0	67

The table above shows that if Detroit wins 7 more games (92 total), then they will finish the season in first place in the division.

To see that Detroit's first-place clinch number cannot be less than 7, consider the following scenario in which Detroit wins 6 more games (91 total) but does not finish in first place:

Team             W	L	PCT	GB
Cleveland        91	71	0.562	0.00
Detroit          91	71	0.562	0.00
Kansas City      86	76	0.531	5.00
Minnesota        69	93	0.426	22.00
Chicago          58	104	0.358	33.00

Tie breakers
Cleveland wins the season series with Detroit 9 games to 4.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Detroit          85	66	11	0.563	0.0
Cleveland        79	71	12	0.527	5.5
Kansas City      75	76	11	0.497	10.0
Minnesota        66	85	11	0.437	19.0
Chicago          57	95	10	0.375	28.5

Next, we show how the remaining series of games in the division play out in the scenario:

Chicago has won the season series with Minnesota 8 games to 5.
Cleveland has won the season series with Chicago 11 games to 2.
Cleveland has won the season series with Kansas City 8 games to 5.
Detroit has won the season series with Chicago 8 games to 5.
Detroit has won the season series with Kansas City 9 games to 4.
Detroit has won the season series with Minnesota 8 games to 5.
Kansas City has won the season series with Chicago 10 games to 3.
Kansas City has won the season series with Minnesota 7 games to 6.

Cleveland currently has 4 wins against Detroit and 4 losses.
  Cleveland wins 5 additional games against Detroit and loses 0.
  Cleveland wins the series 9 games to 4

Cleveland currently has 6 wins against Minnesota and 3 losses.
  Cleveland wins 4 additional games against Minnesota and loses 0.
  Cleveland wins the series 10 games to 3

Chicago wins 1 games agains teams outside the division and loses 9.
Cleveland wins 3 games agains teams outside the division and loses 0.
Detroit wins 6 games agains teams outside the division and loses 0.
Kansas City wins 11 games agains teams outside the division and loses 0.
Minnesota wins 3 games agains teams outside the division and loses 4.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Detroit Tigers' magic number
# Detroit's magic number
# Tigers' magic number
# MLB Playoff Race