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Finding the Fourth Proportional to 22,538, 33,807.64 and 6,122

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Solution

The fourth proportional to 22,538, 33,807.64 and 6,122 is: 9,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538 : 33,807.64 = 6,122 : x
  2. Step 2: Convert to fraction form
    22,538/33,807.64 = 6,122/x
  3. Step 3: Cross multiply
    22,538x = 33,807.64 × 6,122
  4. Step 4: Simplify right side
    22,538x = 206,970,372.08
  5. Step 5: Solve for x
    x = 206,970,372.08/22,538
  6. Step 6: Final answer
    x = 9,183.17

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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.