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Finding the Fourth Proportional to 8,167.46, 12,251.14 and 2,324.07

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Solution

The fourth proportional to 8,167.46, 12,251.14 and 2,324.07 is: 3,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.46 : 12,251.14 = 2,324.07 : x
  2. Step 2: Convert to fraction form
    8,167.46/12,251.14 = 2,324.07/x
  3. Step 3: Cross multiply
    8,167.46x = 12,251.14 × 2,324.07
  4. Step 4: Simplify right side
    8,167.46x = 28,472,501.13
  5. Step 5: Solve for x
    x = 28,472,501.13/8,167.46
  6. Step 6: Final answer
    x = 3,486.09

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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.