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Finding the Fourth Proportional to 6,874.62, 9,487.16 and 3,730.82

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Solution

The fourth proportional to 6,874.62, 9,487.16 and 3,730.82 is: 5,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.62 : 9,487.16 = 3,730.82 : x
  2. Step 2: Convert to fraction form
    6,874.62/9,487.16 = 3,730.82/x
  3. Step 3: Cross multiply
    6,874.62x = 9,487.16 × 3,730.82
  4. Step 4: Simplify right side
    6,874.62x = 35,394,820.18
  5. Step 5: Solve for x
    x = 35,394,820.18/6,874.62
  6. Step 6: Final answer
    x = 5,148.62

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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.