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Finding the Fourth Proportional to 22,519.71, 33,780.07 and 7,728.75

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Solution

The fourth proportional to 22,519.71, 33,780.07 and 7,728.75 is: 11,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.71 : 33,780.07 = 7,728.75 : x
  2. Step 2: Convert to fraction form
    22,519.71/33,780.07 = 7,728.75/x
  3. Step 3: Cross multiply
    22,519.71x = 33,780.07 × 7,728.75
  4. Step 4: Simplify right side
    22,519.71x = 261,077,725.67
  5. Step 5: Solve for x
    x = 261,077,725.67/22,519.71
  6. Step 6: Final answer
    x = 11,593.30

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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.