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Finding the Fourth Proportional to 22,754, 34,131 and 6,338

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Solution

The fourth proportional to 22,754, 34,131 and 6,338 is: 9,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754 : 34,131 = 6,338 : x
  2. Step 2: Convert to fraction form
    22,754/34,131 = 6,338/x
  3. Step 3: Cross multiply
    22,754x = 34,131 × 6,338
  4. Step 4: Simplify right side
    22,754x = 216,322,278
  5. Step 5: Solve for x
    x = 216,322,278/22,754
  6. Step 6: Final answer
    x = 9,507

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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.