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Finding the Fourth Proportional to 10,471.76, 14,451.14 and 5,691.71

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Solution

The fourth proportional to 10,471.76, 14,451.14 and 5,691.71 is: 7,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.76 : 14,451.14 = 5,691.71 : x
  2. Step 2: Convert to fraction form
    10,471.76/14,451.14 = 5,691.71/x
  3. Step 3: Cross multiply
    10,471.76x = 14,451.14 × 5,691.71
  4. Step 4: Simplify right side
    10,471.76x = 82,251,698.05
  5. Step 5: Solve for x
    x = 82,251,698.05/10,471.76
  6. Step 6: Final answer
    x = 7,854.62

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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.