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Finding the Fourth Proportional to 22,471.58, 33,713.31 and 7,680.44

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Solution

The fourth proportional to 22,471.58, 33,713.31 and 7,680.44 is: 11,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.58 : 33,713.31 = 7,680.44 : x
  2. Step 2: Convert to fraction form
    22,471.58/33,713.31 = 7,680.44/x
  3. Step 3: Cross multiply
    22,471.58x = 33,713.31 × 7,680.44
  4. Step 4: Simplify right side
    22,471.58x = 258,933,054.66
  5. Step 5: Solve for x
    x = 258,933,054.66/22,471.58
  6. Step 6: Final answer
    x = 11,522.69

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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.