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Finding the Fourth Proportional to 8,414.66, 12,562.80 and 6,429.88

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Solution

The fourth proportional to 8,414.66, 12,562.80 and 6,429.88 is: 9,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.66 : 12,562.80 = 6,429.88 : x
  2. Step 2: Convert to fraction form
    8,414.66/12,562.80 = 6,429.88/x
  3. Step 3: Cross multiply
    8,414.66x = 12,562.80 × 6,429.88
  4. Step 4: Simplify right side
    8,414.66x = 80,777,296.46
  5. Step 5: Solve for x
    x = 80,777,296.46/8,414.66
  6. Step 6: Final answer
    x = 9,599.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.