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Finding the Fourth Proportional to 6,874.98, 9,487.68 and 3,731.18

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Solution

The fourth proportional to 6,874.98, 9,487.68 and 3,731.18 is: 5,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.98 : 9,487.68 = 3,731.18 : x
  2. Step 2: Convert to fraction form
    6,874.98/9,487.68 = 3,731.18/x
  3. Step 3: Cross multiply
    6,874.98x = 9,487.68 × 3,731.18
  4. Step 4: Simplify right side
    6,874.98x = 35,400,241.86
  5. Step 5: Solve for x
    x = 35,400,241.86/6,874.98
  6. Step 6: Final answer
    x = 5,149.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.