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Finding the Fourth Proportional to 11,883.96, 17,805.78 and 7,257.24

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Solution

The fourth proportional to 11,883.96, 17,805.78 and 7,257.24 is: 10,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.96 : 17,805.78 = 7,257.24 : x
  2. Step 2: Convert to fraction form
    11,883.96/17,805.78 = 7,257.24/x
  3. Step 3: Cross multiply
    11,883.96x = 17,805.78 × 7,257.24
  4. Step 4: Simplify right side
    11,883.96x = 129,220,818.85
  5. Step 5: Solve for x
    x = 129,220,818.85/11,883.96
  6. Step 6: Final answer
    x = 10,873.55

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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.