Boston Red Sox First-Place Clinch Scenario

Boston does not have a first-place clinch number

Here is a scenario in which Boston wins all 10 of their remaining games (93 total) but does not but does not clinch first place.

Team             W	L	PCT	GB
Toronto          93	69	0.574	0.00
Boston           93	69	0.574	0.00
New York         90	72	0.556	3.00
Baltimore        77	85	0.475	16.00
Tampa Bay        74	88	0.457	19.00

Tie breakers
Toronto wins the season series with Boston 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Toronto          89	63	10	0.586	0.0
New York         85	67	10	0.559	4.0
Boston           83	69	10	0.546	6.0
Tampa Bay        74	78	10	0.487	15.0
Baltimore        72	80	10	0.474	17.0

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

Boston has won the season series with Baltimore 8 games to 5.
Boston has won the season series with New York 9 games to 4.
New York has won the season series with Tampa Bay 9 games to 4.
Toronto has won the season series with Baltimore 7 games to 6.
Toronto has won the season series with New York 8 games to 5.

Baltimore currently has 5 wins against Tampa Bay and 5 losses.
  Baltimore wins 3 additional games against Tampa Bay and loses 0.
  Baltimore wins the series 8 games to 5

Boston currently has 8 wins against Tampa Bay and 2 losses.
  Boston wins 3 additional games against Tampa Bay and loses 0.
  Boston wins the series 11 games to 2

New York currently has 3 wins against Baltimore and 3 losses.
  New York wins 5 additional games against Baltimore and loses 2.
  New York wins the series 8 games to 5

Toronto currently has 7 wins against Boston and 3 losses.
  Toronto wins 0 additional games against Boston and loses 3.
  Toronto wins the series 7 games to 6

Toronto currently has 3 wins against Tampa Bay and 6 losses.
  Toronto wins 4 additional games against Tampa Bay and loses 0.
  Toronto wins the series 7 games to 6

Baltimore wins 0 games agains teams outside the division and loses 0.
Boston wins 4 games agains teams outside the division and loses 0.
New York wins 0 games agains teams outside the division and loses 3.
Tampa Bay wins 0 games agains teams outside the division and loses 0.
Toronto wins 0 games agains teams outside the division and loses 3.

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