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Finding the Fourth Proportional to 8,167.32, 11,277 and 7,224.12

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Solution

The fourth proportional to 8,167.32, 11,277 and 7,224.12 is: 9,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.32 : 11,277 = 7,224.12 : x
  2. Step 2: Convert to fraction form
    8,167.32/11,277 = 7,224.12/x
  3. Step 3: Cross multiply
    8,167.32x = 11,277 × 7,224.12
  4. Step 4: Simplify right side
    8,167.32x = 81,466,401.24
  5. Step 5: Solve for x
    x = 81,466,401.24/8,167.32
  6. Step 6: Final answer
    x = 9,974.68

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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.