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Finding the Fourth Proportional to 6,508.67, 9,754.88 and 3,174.17

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Solution

The fourth proportional to 6,508.67, 9,754.88 and 3,174.17 is: 4,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.67 : 9,754.88 = 3,174.17 : x
  2. Step 2: Convert to fraction form
    6,508.67/9,754.88 = 3,174.17/x
  3. Step 3: Cross multiply
    6,508.67x = 9,754.88 × 3,174.17
  4. Step 4: Simplify right side
    6,508.67x = 30,963,582.80
  5. Step 5: Solve for x
    x = 30,963,582.80/6,508.67
  6. Step 6: Final answer
    x = 4,757.29

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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.