Given that \(W : X = 5 : 6,\ X : Y = 3 : 7,\ \text{and}\ Y : Z = 8 : 9\), find the compound ratio \(W : X : Y : Z\).
20 : 24 : 56 : 63
Step 1 – Make X consistent in W:X and X:Y.
\(W : X = 5 : 6\) and \(X : Y = 3 : 7\). Scale the second to make X = 6: \(X : Y = 6 : 14\).
So \(W : X : Y = 5 : 6 : 14\).
Step 2 – Make Y consistent in W:X:Y and Y:Z.
Y is 14 in the first chain and 8 in the second. LCM(14, 8) = 56.
Scale \(W : X : Y = 5 : 6 : 14\) by 4 → \(20 : 24 : 56\).
Scale \(Y : Z = 8 : 9\) by 7 → \(56 : 63\).
Step 3 – Combine.
\(W : X : Y : Z = 20 : 24 : 56 : 63\).
If P : Q = 6 : 11, Q : R = 5 : 4, and R : S = 9 : 7, find P : Q : R : S.
If A : B = 2 : 5, B : C = 4 : 3 and C : D = 2 : 1, then what is value of A : C : D?
The following ratios are given:
\(a : b = 2 : 3\)
\(b : c = 4 : 5\)
\(c : d = 3 : 2\)
\(d : e = 5 : 4\)
What is the value of the ratio a : e?
If (x + 2) is a common factor of x 2+ ax + b and x 2+ bx + a, then the ratio of a ∶ b is equal to
Rs. 2420 were divided among A, B, C so that A : B = 5 : 4 and B : C = 9 : 10 then C gets: