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Finding the Fourth Proportional to 8,278.70, 12,414.20 and 2,434.15

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Solution

The fourth proportional to 8,278.70, 12,414.20 and 2,434.15 is: 3,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.70 : 12,414.20 = 2,434.15 : x
  2. Step 2: Convert to fraction form
    8,278.70/12,414.20 = 2,434.15/x
  3. Step 3: Cross multiply
    8,278.70x = 12,414.20 × 2,434.15
  4. Step 4: Simplify right side
    8,278.70x = 30,217,962.86
  5. Step 5: Solve for x
    x = 30,217,962.86/8,278.70
  6. Step 6: Final answer
    x = 3,650.09

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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.