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Finding the Fourth Proportional to 8,349.48, 12,524.22 and 2,193

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Solution

The fourth proportional to 8,349.48, 12,524.22 and 2,193 is: 3,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.48 : 12,524.22 = 2,193 : x
  2. Step 2: Convert to fraction form
    8,349.48/12,524.22 = 2,193/x
  3. Step 3: Cross multiply
    8,349.48x = 12,524.22 × 2,193
  4. Step 4: Simplify right side
    8,349.48x = 27,465,614.46
  5. Step 5: Solve for x
    x = 27,465,614.46/8,349.48
  6. Step 6: Final answer
    x = 3,289.50

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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.