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Finding the Fourth Proportional to 22,609, 33,914.46 and 6,193

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Solution

The fourth proportional to 22,609, 33,914.46 and 6,193 is: 9,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609 : 33,914.46 = 6,193 : x
  2. Step 2: Convert to fraction form
    22,609/33,914.46 = 6,193/x
  3. Step 3: Cross multiply
    22,609x = 33,914.46 × 6,193
  4. Step 4: Simplify right side
    22,609x = 210,032,250.78
  5. Step 5: Solve for x
    x = 210,032,250.78/22,609
  6. Step 6: Final answer
    x = 9,289.76

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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.