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Finding the Fourth Proportional to 33,857.75, 50,786.64 and 9,233.75

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Solution

The fourth proportional to 33,857.75, 50,786.64 and 9,233.75 is: 13,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,857.75 : 50,786.64 = 9,233.75 : x
  2. Step 2: Convert to fraction form
    33,857.75/50,786.64 = 9,233.75/x
  3. Step 3: Cross multiply
    33,857.75x = 50,786.64 × 9,233.75
  4. Step 4: Simplify right side
    33,857.75x = 468,951,137.10
  5. Step 5: Solve for x
    x = 468,951,137.10/33,857.75
  6. Step 6: Final answer
    x = 13,850.63

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1.5x scale

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.