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Finding the Fourth Proportional to 33,774, 50,661 and 9,150

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Solution

The fourth proportional to 33,774, 50,661 and 9,150 is: 13,725

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774 : 50,661 = 9,150 : x
  2. Step 2: Convert to fraction form
    33,774/50,661 = 9,150/x
  3. Step 3: Cross multiply
    33,774x = 50,661 × 9,150
  4. Step 4: Simplify right side
    33,774x = 463,548,150
  5. Step 5: Solve for x
    x = 463,548,150/33,774
  6. Step 6: Final answer
    x = 13,725

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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.