Home / 10,944.58-16,414.44-5,098

Finding the Fourth Proportional to 10,944.58, 16,414.44 and 5,098

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Solution

The fourth proportional to 10,944.58, 16,414.44 and 5,098 is: 7,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.58 : 16,414.44 = 5,098 : x
  2. Step 2: Convert to fraction form
    10,944.58/16,414.44 = 5,098/x
  3. Step 3: Cross multiply
    10,944.58x = 16,414.44 × 5,098
  4. Step 4: Simplify right side
    10,944.58x = 83,680,815.12
  5. Step 5: Solve for x
    x = 83,680,815.12/10,944.58
  6. Step 6: Final answer
    x = 7,645.87

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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.