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Finding the Fourth Proportional to 5,755.62, 7,932.15 and 4,494.72

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Solution

The fourth proportional to 5,755.62, 7,932.15 and 4,494.72 is: 6,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.62 : 7,932.15 = 4,494.72 : x
  2. Step 2: Convert to fraction form
    5,755.62/7,932.15 = 4,494.72/x
  3. Step 3: Cross multiply
    5,755.62x = 7,932.15 × 4,494.72
  4. Step 4: Simplify right side
    5,755.62x = 35,652,793.25
  5. Step 5: Solve for x
    x = 35,652,793.25/5,755.62
  6. Step 6: Final answer
    x = 6,194.43

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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.