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Finding the Fourth Proportional to 15,786.96, 23,691 and 6,552.96

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Solution

The fourth proportional to 15,786.96, 23,691 and 6,552.96 is: 9,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.96 : 23,691 = 6,552.96 : x
  2. Step 2: Convert to fraction form
    15,786.96/23,691 = 6,552.96/x
  3. Step 3: Cross multiply
    15,786.96x = 23,691 × 6,552.96
  4. Step 4: Simplify right side
    15,786.96x = 155,246,175.36
  5. Step 5: Solve for x
    x = 155,246,175.36/15,786.96
  6. Step 6: Final answer
    x = 9,833.82

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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.