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Finding the Fourth Proportional to 27,843.66, 41,766.90 and 8,123.70

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Solution

The fourth proportional to 27,843.66, 41,766.90 and 8,123.70 is: 12,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.66 : 41,766.90 = 8,123.70 : x
  2. Step 2: Convert to fraction form
    27,843.66/41,766.90 = 8,123.70/x
  3. Step 3: Cross multiply
    27,843.66x = 41,766.90 × 8,123.70
  4. Step 4: Simplify right side
    27,843.66x = 339,301,765.53
  5. Step 5: Solve for x
    x = 339,301,765.53/27,843.66
  6. Step 6: Final answer
    x = 12,185.96

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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.