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Finding the Fourth Proportional to 27,735.66, 41,601.87 and 8,013.78

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Solution

The fourth proportional to 27,735.66, 41,601.87 and 8,013.78 is: 12,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.66 : 41,601.87 = 8,013.78 : x
  2. Step 2: Convert to fraction form
    27,735.66/41,601.87 = 8,013.78/x
  3. Step 3: Cross multiply
    27,735.66x = 41,601.87 × 8,013.78
  4. Step 4: Simplify right side
    27,735.66x = 333,388,233.77
  5. Step 5: Solve for x
    x = 333,388,233.77/27,735.66
  6. Step 6: Final answer
    x = 12,020.20

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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.