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Problem-Solving and Data Analysis / Ratios, rates, proportional relationships, and units Difficulty: Medium

The ratio $140$ to $m$ is equivalent to the ratio $4$ to $28$ . What is the value of $m$ ?

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Explanation

The correct answer is $980$ . It's given that the ratio $140$ to $m$ is equivalent to the ratio $4$ to $28$ . Therefore, the value of $m$ can be found by solving the equation $\frac{140}{m} = \frac{4}{28}$ . Multiplying each side of this equation by $m$ yields $140 = \frac{4 m}{28}$ . Multiplying each side of this equation by $28$ yields $3,920 equals 4 m$ . Dividing each side of this equation by $4$ yields $980 equals m$ . Therefore, the value of $m$ is $980$ .