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Finding the Fourth Proportional to 15,975, 23,961.62 and 6,113.52

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Solution

The fourth proportional to 15,975, 23,961.62 and 6,113.52 is: 9,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975 : 23,961.62 = 6,113.52 : x
  2. Step 2: Convert to fraction form
    15,975/23,961.62 = 6,113.52/x
  3. Step 3: Cross multiply
    15,975x = 23,961.62 × 6,113.52
  4. Step 4: Simplify right side
    15,975x = 146,489,843.10
  5. Step 5: Solve for x
    x = 146,489,843.10/15,975
  6. Step 6: Final answer
    x = 9,169.94

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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.