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Finding the Fourth Proportional to 22,383.73, 33,574.92 and 5,743.09

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Solution

The fourth proportional to 22,383.73, 33,574.92 and 5,743.09 is: 8,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383.73 : 33,574.92 = 5,743.09 : x
  2. Step 2: Convert to fraction form
    22,383.73/33,574.92 = 5,743.09/x
  3. Step 3: Cross multiply
    22,383.73x = 33,574.92 × 5,743.09
  4. Step 4: Simplify right side
    22,383.73x = 192,823,787.30
  5. Step 5: Solve for x
    x = 192,823,787.30/22,383.73
  6. Step 6: Final answer
    x = 8,614.46

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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.