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Finding the Fourth Proportional to 16,910, 25,365.08 and 5,966

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Solution

The fourth proportional to 16,910, 25,365.08 and 5,966 is: 8,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,910 : 25,365.08 = 5,966 : x
  2. Step 2: Convert to fraction form
    16,910/25,365.08 = 5,966/x
  3. Step 3: Cross multiply
    16,910x = 25,365.08 × 5,966
  4. Step 4: Simplify right side
    16,910x = 151,328,067.28
  5. Step 5: Solve for x
    x = 151,328,067.28/16,910
  6. Step 6: Final answer
    x = 8,949.03

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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.