The win was never in doubt, with Peel going scoreless in the opening term and goalless in the last.
In a complete team performance, the Tigers ran out 15.12 (102) to 7.7 (49) winners.
Forward Tim Geappen booted six goals from his equal game-high 31 disposals, as the visitors eased home 20.10 (130) to 12.11 (83).
The Swans next play South Fremantle, while Subiaco will face West Perth.
The 15.11 (101) to 12.11 (83) result moved the Royals into third spot on the WAFL table, despite having a percentage of just 89.57.
Joshua Smith Booted five goals for the winners.
The Falcons were switched on early and held all the right cards en route to banking the four points with the 12.11 (83) to 10.9 (69) result.
Stretching their lead out to 33 points early in the last term, the Falcons did face a fightback from their hosts, but the partnership of Robert Young and Ryan Lester-Smith, which worked so well last week, never kicked into gear, with Trent Manzone eventually finishing the job with two late goals.