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Finding the Fourth Proportional to 8,584.31, 12,874.95 and 3,903.22

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Solution

The fourth proportional to 8,584.31, 12,874.95 and 3,903.22 is: 5,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.31 : 12,874.95 = 3,903.22 : x
  2. Step 2: Convert to fraction form
    8,584.31/12,874.95 = 3,903.22/x
  3. Step 3: Cross multiply
    8,584.31x = 12,874.95 × 3,903.22
  4. Step 4: Simplify right side
    8,584.31x = 50,253,778.43
  5. Step 5: Solve for x
    x = 50,253,778.43/8,584.31
  6. Step 6: Final answer
    x = 5,854.14

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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.