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Finding the Fourth Proportional to 6,493.41, 8,961.17 and 3,660.90

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Solution

The fourth proportional to 6,493.41, 8,961.17 and 3,660.90 is: 5,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.41 : 8,961.17 = 3,660.90 : x
  2. Step 2: Convert to fraction form
    6,493.41/8,961.17 = 3,660.90/x
  3. Step 3: Cross multiply
    6,493.41x = 8,961.17 × 3,660.90
  4. Step 4: Simplify right side
    6,493.41x = 32,805,947.25
  5. Step 5: Solve for x
    x = 32,805,947.25/6,493.41
  6. Step 6: Final answer
    x = 5,052.19

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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.