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Finding the Fourth Proportional to 27,645.92, 41,469.16 and 6,869.42

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Solution

The fourth proportional to 27,645.92, 41,469.16 and 6,869.42 is: 10,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.92 : 41,469.16 = 6,869.42 : x
  2. Step 2: Convert to fraction form
    27,645.92/41,469.16 = 6,869.42/x
  3. Step 3: Cross multiply
    27,645.92x = 41,469.16 × 6,869.42
  4. Step 4: Simplify right side
    27,645.92x = 284,869,077.09
  5. Step 5: Solve for x
    x = 284,869,077.09/27,645.92
  6. Step 6: Final answer
    x = 10,304.20

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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.