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find the number that makes the ratio equivalent to 1:9. 8:□

Question

find the number that makes the ratio equivalent to 1:9.
8:□

Explanation:

Step1: Understand equivalent ratios

Equivalent ratios are like equivalent fractions. If \(1:9\) is equivalent to \(8:x\) (let the unknown be \(x\)), then \(\frac{1}{9}=\frac{8}{x}\).

Step2: Cross - multiply to solve for \(x\)

Cross - multiplying gives \(1\times x = 9\times8\).
Since \(9\times8 = 72\), we have \(x = 72\).

Answer:

72