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Finding the Fourth Proportional to 6,778.87, 9,354.89 and 3,947.90

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Solution

The fourth proportional to 6,778.87, 9,354.89 and 3,947.90 is: 5,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.87 : 9,354.89 = 3,947.90 : x
  2. Step 2: Convert to fraction form
    6,778.87/9,354.89 = 3,947.90/x
  3. Step 3: Cross multiply
    6,778.87x = 9,354.89 × 3,947.90
  4. Step 4: Simplify right side
    6,778.87x = 36,932,170.23
  5. Step 5: Solve for x
    x = 36,932,170.23/6,778.87
  6. Step 6: Final answer
    x = 5,448.13

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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.