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Finding the Fourth Proportional to 5,755.60, 7,937.82 and 4,863.68

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Solution

The fourth proportional to 5,755.60, 7,937.82 and 4,863.68 is: 6,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.60 : 7,937.82 = 4,863.68 : x
  2. Step 2: Convert to fraction form
    5,755.60/7,937.82 = 4,863.68/x
  3. Step 3: Cross multiply
    5,755.60x = 7,937.82 × 4,863.68
  4. Step 4: Simplify right side
    5,755.60x = 38,607,016.38
  5. Step 5: Solve for x
    x = 38,607,016.38/5,755.60
  6. Step 6: Final answer
    x = 6,707.73

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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.