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Finding the Fourth Proportional to 11,151, 15,393.24 and 6,961.68

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Solution

The fourth proportional to 11,151, 15,393.24 and 6,961.68 is: 9,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 15,393.24 = 6,961.68 : x
  2. Step 2: Convert to fraction form
    11,151/15,393.24 = 6,961.68/x
  3. Step 3: Cross multiply
    11,151x = 15,393.24 × 6,961.68
  4. Step 4: Simplify right side
    11,151x = 107,162,811.04
  5. Step 5: Solve for x
    x = 107,162,811.04/11,151
  6. Step 6: Final answer
    x = 9,610.15

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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.