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Finding the Fourth Proportional to 22,194, 33,291 and 5,778

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Solution

The fourth proportional to 22,194, 33,291 and 5,778 is: 8,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,194 : 33,291 = 5,778 : x
  2. Step 2: Convert to fraction form
    22,194/33,291 = 5,778/x
  3. Step 3: Cross multiply
    22,194x = 33,291 × 5,778
  4. Step 4: Simplify right side
    22,194x = 192,355,398
  5. Step 5: Solve for x
    x = 192,355,398/22,194
  6. Step 6: Final answer
    x = 8,667

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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.