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Finding the Fourth Proportional to 6,517.38, 9,751.23 and 5,731.14

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Solution

The fourth proportional to 6,517.38, 9,751.23 and 5,731.14 is: 8,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.38 : 9,751.23 = 5,731.14 : x
  2. Step 2: Convert to fraction form
    6,517.38/9,751.23 = 5,731.14/x
  3. Step 3: Cross multiply
    6,517.38x = 9,751.23 × 5,731.14
  4. Step 4: Simplify right side
    6,517.38x = 55,885,664.30
  5. Step 5: Solve for x
    x = 55,885,664.30/6,517.38
  6. Step 6: Final answer
    x = 8,574.87

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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.