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Finding the Fourth Proportional to 7,691.71, 10,613.67 and 4,709.29

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Solution

The fourth proportional to 7,691.71, 10,613.67 and 4,709.29 is: 6,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.71 : 10,613.67 = 4,709.29 : x
  2. Step 2: Convert to fraction form
    7,691.71/10,613.67 = 4,709.29/x
  3. Step 3: Cross multiply
    7,691.71x = 10,613.67 × 4,709.29
  4. Step 4: Simplify right side
    7,691.71x = 49,982,849.99
  5. Step 5: Solve for x
    x = 49,982,849.99/7,691.71
  6. Step 6: Final answer
    x = 6,498.28

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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.