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Finding the Fourth Proportional to 11,546.92, 17,321.97 and 4,150

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Solution

The fourth proportional to 11,546.92, 17,321.97 and 4,150 is: 6,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.92 : 17,321.97 = 4,150 : x
  2. Step 2: Convert to fraction form
    11,546.92/17,321.97 = 4,150/x
  3. Step 3: Cross multiply
    11,546.92x = 17,321.97 × 4,150
  4. Step 4: Simplify right side
    11,546.92x = 71,886,175.50
  5. Step 5: Solve for x
    x = 71,886,175.50/11,546.92
  6. Step 6: Final answer
    x = 6,225.57

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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.