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Finding the Fourth Proportional to 22,222, 33,333 and 5,806

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Solution

The fourth proportional to 22,222, 33,333 and 5,806 is: 8,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,222 : 33,333 = 5,806 : x
  2. Step 2: Convert to fraction form
    22,222/33,333 = 5,806/x
  3. Step 3: Cross multiply
    22,222x = 33,333 × 5,806
  4. Step 4: Simplify right side
    22,222x = 193,531,398
  5. Step 5: Solve for x
    x = 193,531,398/22,222
  6. Step 6: Final answer
    x = 8,709

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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.