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Finding the Fourth Proportional to 6,882.57, 9,493.02 and 6,317.24

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Solution

The fourth proportional to 6,882.57, 9,493.02 and 6,317.24 is: 8,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.57 : 9,493.02 = 6,317.24 : x
  2. Step 2: Convert to fraction form
    6,882.57/9,493.02 = 6,317.24/x
  3. Step 3: Cross multiply
    6,882.57x = 9,493.02 × 6,317.24
  4. Step 4: Simplify right side
    6,882.57x = 59,969,638.20
  5. Step 5: Solve for x
    x = 59,969,638.20/6,882.57
  6. Step 6: Final answer
    x = 8,713.26

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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.