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Finding the Fourth Proportional to 22,382.73, 33,573.42 and 5,742.09

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Solution

The fourth proportional to 22,382.73, 33,573.42 and 5,742.09 is: 8,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.73 : 33,573.42 = 5,742.09 : x
  2. Step 2: Convert to fraction form
    22,382.73/33,573.42 = 5,742.09/x
  3. Step 3: Cross multiply
    22,382.73x = 33,573.42 × 5,742.09
  4. Step 4: Simplify right side
    22,382.73x = 192,781,599.25
  5. Step 5: Solve for x
    x = 192,781,599.25/22,382.73
  6. Step 6: Final answer
    x = 8,612.96

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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.