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Finding the Fourth Proportional to 6,517.56, 9,781.06 and 4,432.62

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Solution

The fourth proportional to 6,517.56, 9,781.06 and 4,432.62 is: 6,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.56 : 9,781.06 = 4,432.62 : x
  2. Step 2: Convert to fraction form
    6,517.56/9,781.06 = 4,432.62/x
  3. Step 3: Cross multiply
    6,517.56x = 9,781.06 × 4,432.62
  4. Step 4: Simplify right side
    6,517.56x = 43,355,722.18
  5. Step 5: Solve for x
    x = 43,355,722.18/6,517.56
  6. Step 6: Final answer
    x = 6,652.14

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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.