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Finding the Fourth Proportional to 22,469.39, 33,704.09 and 7,678.43

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Solution

The fourth proportional to 22,469.39, 33,704.09 and 7,678.43 is: 11,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.39 : 33,704.09 = 7,678.43 : x
  2. Step 2: Convert to fraction form
    22,469.39/33,704.09 = 7,678.43/x
  3. Step 3: Cross multiply
    22,469.39x = 33,704.09 × 7,678.43
  4. Step 4: Simplify right side
    22,469.39x = 258,794,495.78
  5. Step 5: Solve for x
    x = 258,794,495.78/22,469.39
  6. Step 6: Final answer
    x = 11,517.65

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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.