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Solve the following proportion for x.5/13 = x/10 Round your answer to the nearest tenth.

Question

Solve the following proportion for x.

513=x10 \frac{5}{13} = \frac{x}{10}

Round your answer to the nearest tenth.

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Solution

Sure, here are the steps to solve the proportion:

  1. The given proportion is 5/13 = x/10.

  2. To solve for x, you can cross-multiply. This means you multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the product of the denominator of the first fraction and the numerator of the second fraction.

  3. So, you get 5 * 10 = 13 * x.

  4. Simplifying that gives you 50 = 13x.

  5. To solve for x, divide both sides of the equation by 13.

  6. So, x = 50/13.

  7. If you calculate that, x is approximately 3.8461538461538463.

  8. Rounding to the nearest tenth, x is approximately 3.8.

This problem has been solved

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