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Finding the Fourth Proportional to 27,757.50, 41,633.19 and 6,981

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Solution

The fourth proportional to 27,757.50, 41,633.19 and 6,981 is: 10,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.50 : 41,633.19 = 6,981 : x
  2. Step 2: Convert to fraction form
    27,757.50/41,633.19 = 6,981/x
  3. Step 3: Cross multiply
    27,757.50x = 41,633.19 × 6,981
  4. Step 4: Simplify right side
    27,757.50x = 290,641,299.39
  5. Step 5: Solve for x
    x = 290,641,299.39/27,757.50
  6. Step 6: Final answer
    x = 10,470.73

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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.