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Finding the Fourth Proportional to 13,714.88, 18,926.43 and 7,747.71

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Solution

The fourth proportional to 13,714.88, 18,926.43 and 7,747.71 is: 10,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.88 : 18,926.43 = 7,747.71 : x
  2. Step 2: Convert to fraction form
    13,714.88/18,926.43 = 7,747.71/x
  3. Step 3: Cross multiply
    13,714.88x = 18,926.43 × 7,747.71
  4. Step 4: Simplify right side
    13,714.88x = 146,636,538.29
  5. Step 5: Solve for x
    x = 146,636,538.29/13,714.88
  6. Step 6: Final answer
    x = 10,691.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.