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Finding the Fourth Proportional to 8,471.89, 12,686.65 and 5,342.43

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Solution

The fourth proportional to 8,471.89, 12,686.65 and 5,342.43 is: 8,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.89 : 12,686.65 = 5,342.43 : x
  2. Step 2: Convert to fraction form
    8,471.89/12,686.65 = 5,342.43/x
  3. Step 3: Cross multiply
    8,471.89x = 12,686.65 × 5,342.43
  4. Step 4: Simplify right side
    8,471.89x = 67,777,553.12
  5. Step 5: Solve for x
    x = 67,777,553.12/8,471.89
  6. Step 6: Final answer
    x = 8,000.29

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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.