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Finding the Fourth Proportional to 27,843.59, 41,764.69 and 8,122.32

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Solution

The fourth proportional to 27,843.59, 41,764.69 and 8,122.32 is: 12,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.59 : 41,764.69 = 8,122.32 : x
  2. Step 2: Convert to fraction form
    27,843.59/41,764.69 = 8,122.32/x
  3. Step 3: Cross multiply
    27,843.59x = 41,764.69 × 8,122.32
  4. Step 4: Simplify right side
    27,843.59x = 339,226,141.35
  5. Step 5: Solve for x
    x = 339,226,141.35/27,843.59
  6. Step 6: Final answer
    x = 12,183.27

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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.