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Finding the Fourth Proportional to 6,344.52, 9,517.04 and 1,727.52

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Solution

The fourth proportional to 6,344.52, 9,517.04 and 1,727.52 is: 2,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.52 : 9,517.04 = 1,727.52 : x
  2. Step 2: Convert to fraction form
    6,344.52/9,517.04 = 1,727.52/x
  3. Step 3: Cross multiply
    6,344.52x = 9,517.04 × 1,727.52
  4. Step 4: Simplify right side
    6,344.52x = 16,440,876.94
  5. Step 5: Solve for x
    x = 16,440,876.94/6,344.52
  6. Step 6: Final answer
    x = 2,591.35

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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.