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Finding the Fourth Proportional to 6,608.36, 9,910.46 and 2,165

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Solution

The fourth proportional to 6,608.36, 9,910.46 and 2,165 is: 3,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.36 : 9,910.46 = 2,165 : x
  2. Step 2: Convert to fraction form
    6,608.36/9,910.46 = 2,165/x
  3. Step 3: Cross multiply
    6,608.36x = 9,910.46 × 2,165
  4. Step 4: Simplify right side
    6,608.36x = 21,456,145.90
  5. Step 5: Solve for x
    x = 21,456,145.90/6,608.36
  6. Step 6: Final answer
    x = 3,246.82

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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.