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Finding the Fourth Proportional to 8,175.80, 12,278.10 and 6,331.40

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Solution

The fourth proportional to 8,175.80, 12,278.10 and 6,331.40 is: 9,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.80 : 12,278.10 = 6,331.40 : x
  2. Step 2: Convert to fraction form
    8,175.80/12,278.10 = 6,331.40/x
  3. Step 3: Cross multiply
    8,175.80x = 12,278.10 × 6,331.40
  4. Step 4: Simplify right side
    8,175.80x = 77,737,562.34
  5. Step 5: Solve for x
    x = 77,737,562.34/8,175.80
  6. Step 6: Final answer
    x = 9,508.25

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1.5x scale

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.