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Finding the Fourth Proportional to 22,843.41, 34,257.82 and 7,257.39

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Solution

The fourth proportional to 22,843.41, 34,257.82 and 7,257.39 is: 10,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.41 : 34,257.82 = 7,257.39 : x
  2. Step 2: Convert to fraction form
    22,843.41/34,257.82 = 7,257.39/x
  3. Step 3: Cross multiply
    22,843.41x = 34,257.82 × 7,257.39
  4. Step 4: Simplify right side
    22,843.41x = 248,622,360.29
  5. Step 5: Solve for x
    x = 248,622,360.29/22,843.41
  6. Step 6: Final answer
    x = 10,883.77

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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.