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Finding the Fourth Proportional to 6,593.97, 9,877.70 and 3,079.13

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Solution

The fourth proportional to 6,593.97, 9,877.70 and 3,079.13 is: 4,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.97 : 9,877.70 = 3,079.13 : x
  2. Step 2: Convert to fraction form
    6,593.97/9,877.70 = 3,079.13/x
  3. Step 3: Cross multiply
    6,593.97x = 9,877.70 × 3,079.13
  4. Step 4: Simplify right side
    6,593.97x = 30,414,723.53
  5. Step 5: Solve for x
    x = 30,414,723.53/6,593.97
  6. Step 6: Final answer
    x = 4,612.50

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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.