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Finding the Fourth Proportional to 22,373.84, 33,567.42 and 9,227

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Solution

The fourth proportional to 22,373.84, 33,567.42 and 9,227 is: 13,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,373.84 : 33,567.42 = 9,227 : x
  2. Step 2: Convert to fraction form
    22,373.84/33,567.42 = 9,227/x
  3. Step 3: Cross multiply
    22,373.84x = 33,567.42 × 9,227
  4. Step 4: Simplify right side
    22,373.84x = 309,726,584.34
  5. Step 5: Solve for x
    x = 309,726,584.34/22,373.84
  6. Step 6: Final answer
    x = 13,843.25

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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.