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Finding the Fourth Proportional to 3,432.72, 5,149.12 and 967.62

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Solution

The fourth proportional to 3,432.72, 5,149.12 and 967.62 is: 1,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.72 : 5,149.12 = 967.62 : x
  2. Step 2: Convert to fraction form
    3,432.72/5,149.12 = 967.62/x
  3. Step 3: Cross multiply
    3,432.72x = 5,149.12 × 967.62
  4. Step 4: Simplify right side
    3,432.72x = 4,982,391.49
  5. Step 5: Solve for x
    x = 4,982,391.49/3,432.72
  6. Step 6: Final answer
    x = 1,451.44

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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.