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Finding the Fourth Proportional to 8,282, 12,432.24 and 4,591.44

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Solution

The fourth proportional to 8,282, 12,432.24 and 4,591.44 is: 6,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282 : 12,432.24 = 4,591.44 : x
  2. Step 2: Convert to fraction form
    8,282/12,432.24 = 4,591.44/x
  3. Step 3: Cross multiply
    8,282x = 12,432.24 × 4,591.44
  4. Step 4: Simplify right side
    8,282x = 57,081,884.03
  5. Step 5: Solve for x
    x = 57,081,884.03/8,282
  6. Step 6: Final answer
    x = 6,892.28

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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.