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Finding the Fourth Proportional to 33,843.75, 50,765.63 and 9,219.75

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Solution

The fourth proportional to 33,843.75, 50,765.63 and 9,219.75 is: 13,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,843.75 : 50,765.63 = 9,219.75 : x
  2. Step 2: Convert to fraction form
    33,843.75/50,765.63 = 9,219.75/x
  3. Step 3: Cross multiply
    33,843.75x = 50,765.63 × 9,219.75
  4. Step 4: Simplify right side
    33,843.75x = 468,046,371.09
  5. Step 5: Solve for x
    x = 468,046,371.09/33,843.75
  6. Step 6: Final answer
    x = 13,829.63

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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.