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Three linked ratios: find the combined four-term ratio

The same question, asked 2 times: 16 Sep 2025 S1*, 17 Sep 2025 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    16 Sep 2025 S1

    51
    If P : Q = 6 : 11, Q : R = 5 : 4, and R : S = 9 : 7, find P : Q : R : S.

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  2. Question 2

    17 Sep 2025 S1

    52
    Given that W:X=5:6W : X = 5 : 6, X:Y=3:7X : Y = 3 : 7, and Y:Z=8:9Y : Z = 8 : 9, find the compound ratio W:X:Y:ZW : X : Y : Z.

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