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Finding the Fourth Proportional to 8,218.62, 12,327.66 and 2,375.10

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Solution

The fourth proportional to 8,218.62, 12,327.66 and 2,375.10 is: 3,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.62 : 12,327.66 = 2,375.10 : x
  2. Step 2: Convert to fraction form
    8,218.62/12,327.66 = 2,375.10/x
  3. Step 3: Cross multiply
    8,218.62x = 12,327.66 × 2,375.10
  4. Step 4: Simplify right side
    8,218.62x = 29,279,425.27
  5. Step 5: Solve for x
    x = 29,279,425.27/8,218.62
  6. Step 6: Final answer
    x = 3,562.57

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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.