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Finding the Fourth Proportional to 27,741.70, 41,616.99 and 9,020.29

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Solution

The fourth proportional to 27,741.70, 41,616.99 and 9,020.29 is: 13,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.70 : 41,616.99 = 9,020.29 : x
  2. Step 2: Convert to fraction form
    27,741.70/41,616.99 = 9,020.29/x
  3. Step 3: Cross multiply
    27,741.70x = 41,616.99 × 9,020.29
  4. Step 4: Simplify right side
    27,741.70x = 375,397,318.73
  5. Step 5: Solve for x
    x = 375,397,318.73/27,741.70
  6. Step 6: Final answer
    x = 13,531.88

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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.