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Finding the Fourth Proportional to 22,285.97, 33,429 and 5,646

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Solution

The fourth proportional to 22,285.97, 33,429 and 5,646 is: 8,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285.97 : 33,429 = 5,646 : x
  2. Step 2: Convert to fraction form
    22,285.97/33,429 = 5,646/x
  3. Step 3: Cross multiply
    22,285.97x = 33,429 × 5,646
  4. Step 4: Simplify right side
    22,285.97x = 188,740,134
  5. Step 5: Solve for x
    x = 188,740,134/22,285.97
  6. Step 6: Final answer
    x = 8,469.01

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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.