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Finding the Fourth Proportional to 27,843.75, 41,772.20 and 9,375.75

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Solution

The fourth proportional to 27,843.75, 41,772.20 and 9,375.75 is: 14,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.75 : 41,772.20 = 9,375.75 : x
  2. Step 2: Convert to fraction form
    27,843.75/41,772.20 = 9,375.75/x
  3. Step 3: Cross multiply
    27,843.75x = 41,772.20 × 9,375.75
  4. Step 4: Simplify right side
    27,843.75x = 391,645,657.27
  5. Step 5: Solve for x
    x = 391,645,657.27/27,843.75
  6. Step 6: Final answer
    x = 14,065.84

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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.