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Finding the Fourth Proportional to 27,952.97, 41,929.86 and 8,227.04

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Solution

The fourth proportional to 27,952.97, 41,929.86 and 8,227.04 is: 12,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.97 : 41,929.86 = 8,227.04 : x
  2. Step 2: Convert to fraction form
    27,952.97/41,929.86 = 8,227.04/x
  3. Step 3: Cross multiply
    27,952.97x = 41,929.86 × 8,227.04
  4. Step 4: Simplify right side
    27,952.97x = 344,958,635.41
  5. Step 5: Solve for x
    x = 344,958,635.41/27,952.97
  6. Step 6: Final answer
    x = 12,340.68

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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.