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Finding the Fourth Proportional to 10,471.89, 15,710.13 and 3,451.62

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Solution

The fourth proportional to 10,471.89, 15,710.13 and 3,451.62 is: 5,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.89 : 15,710.13 = 3,451.62 : x
  2. Step 2: Convert to fraction form
    10,471.89/15,710.13 = 3,451.62/x
  3. Step 3: Cross multiply
    10,471.89x = 15,710.13 × 3,451.62
  4. Step 4: Simplify right side
    10,471.89x = 54,225,398.91
  5. Step 5: Solve for x
    x = 54,225,398.91/10,471.89
  6. Step 6: Final answer
    x = 5,178.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.