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Finding the Fourth Proportional to 8,428.62, 12,646.20 and 3,497

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Solution

The fourth proportional to 8,428.62, 12,646.20 and 3,497 is: 5,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.62 : 12,646.20 = 3,497 : x
  2. Step 2: Convert to fraction form
    8,428.62/12,646.20 = 3,497/x
  3. Step 3: Cross multiply
    8,428.62x = 12,646.20 × 3,497
  4. Step 4: Simplify right side
    8,428.62x = 44,223,761.40
  5. Step 5: Solve for x
    x = 44,223,761.40/8,428.62
  6. Step 6: Final answer
    x = 5,246.86

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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.