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Finding the Fourth Proportional to 27,857.68, 41,793.82 and 8,136.42

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Solution

The fourth proportional to 27,857.68, 41,793.82 and 8,136.42 is: 12,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.68 : 41,793.82 = 8,136.42 : x
  2. Step 2: Convert to fraction form
    27,857.68/41,793.82 = 8,136.42/x
  3. Step 3: Cross multiply
    27,857.68x = 41,793.82 × 8,136.42
  4. Step 4: Simplify right side
    27,857.68x = 340,052,072.92
  5. Step 5: Solve for x
    x = 340,052,072.92/27,857.68
  6. Step 6: Final answer
    x = 12,206.76

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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.