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Finding the Fourth Proportional to 11,761.48, 16,232.34 and 6,793.48

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Solution

The fourth proportional to 11,761.48, 16,232.34 and 6,793.48 is: 9,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.48 : 16,232.34 = 6,793.48 : x
  2. Step 2: Convert to fraction form
    11,761.48/16,232.34 = 6,793.48/x
  3. Step 3: Cross multiply
    11,761.48x = 16,232.34 × 6,793.48
  4. Step 4: Simplify right side
    11,761.48x = 110,274,077.14
  5. Step 5: Solve for x
    x = 110,274,077.14/11,761.48
  6. Step 6: Final answer
    x = 9,375.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.