Determine whether the equation is a proportion: \( \frac{3.5}{13.5}=\frac{14}{54} \). Select the correct answer below: Yes, the equation is a proportion. No, the equation is not a proportion.
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To determine whether \( \frac{3.5}{13.5}=\frac{14}{54} \) is a proportion, we can cross-multiply to check if the products are equal. This means we calculate \( 3.5 \times 54 \) and \( 14 \times 13.5 \). If both products are equal, then the equation is a proportion. Calculating these gives us \( 3.5 \times 54 = 189 \) and \( 14 \times 13.5 = 189 \) as well. Since both products are equal, we can confidently say that the answer is: Yes, the equation is a proportion. Furthermore, proportions are a fundamental concept in various fields, including mathematics, physics, and finance. They help in understanding relationships between quantities and are useful in scaling, converting units, and solving problems involving ratios. Whether in recipe adjustments or in calculating distances on a map, proportions find their real-world use almost daily!