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Finding the Fourth Proportional to 8,272.50, 12,396.90 and 6,414.92

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Solution

The fourth proportional to 8,272.50, 12,396.90 and 6,414.92 is: 9,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.50 : 12,396.90 = 6,414.92 : x
  2. Step 2: Convert to fraction form
    8,272.50/12,396.90 = 6,414.92/x
  3. Step 3: Cross multiply
    8,272.50x = 12,396.90 × 6,414.92
  4. Step 4: Simplify right side
    8,272.50x = 79,525,121.75
  5. Step 5: Solve for x
    x = 79,525,121.75/8,272.50
  6. Step 6: Final answer
    x = 9,613.19

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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.