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Finding the Fourth Proportional to 27,207.68, 40,801.92 and 9,674.24

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Solution

The fourth proportional to 27,207.68, 40,801.92 and 9,674.24 is: 14,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,207.68 : 40,801.92 = 9,674.24 : x
  2. Step 2: Convert to fraction form
    27,207.68/40,801.92 = 9,674.24/x
  3. Step 3: Cross multiply
    27,207.68x = 40,801.92 × 9,674.24
  4. Step 4: Simplify right side
    27,207.68x = 394,727,566.54
  5. Step 5: Solve for x
    x = 394,727,566.54/27,207.68
  6. Step 6: Final answer
    x = 14,507.95

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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.