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Finding the Fourth Proportional to 8,224.68, 12,337.20 and 3,840.96

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Solution

The fourth proportional to 8,224.68, 12,337.20 and 3,840.96 is: 5,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.68 : 12,337.20 = 3,840.96 : x
  2. Step 2: Convert to fraction form
    8,224.68/12,337.20 = 3,840.96/x
  3. Step 3: Cross multiply
    8,224.68x = 12,337.20 × 3,840.96
  4. Step 4: Simplify right side
    8,224.68x = 47,386,691.71
  5. Step 5: Solve for x
    x = 47,386,691.71/8,224.68
  6. Step 6: Final answer
    x = 5,761.52

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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.