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Finding the Fourth Proportional to 4,755.70, 7,132.96 and 1,982.71

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Solution

The fourth proportional to 4,755.70, 7,132.96 and 1,982.71 is: 2,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.70 : 7,132.96 = 1,982.71 : x
  2. Step 2: Convert to fraction form
    4,755.70/7,132.96 = 1,982.71/x
  3. Step 3: Cross multiply
    4,755.70x = 7,132.96 × 1,982.71
  4. Step 4: Simplify right side
    4,755.70x = 14,142,591.12
  5. Step 5: Solve for x
    x = 14,142,591.12/4,755.70
  6. Step 6: Final answer
    x = 2,973.82

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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.