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Finding the Fourth Proportional to 11,954.98, 16,496.01 and 6,649.78

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Solution

The fourth proportional to 11,954.98, 16,496.01 and 6,649.78 is: 9,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.98 : 16,496.01 = 6,649.78 : x
  2. Step 2: Convert to fraction form
    11,954.98/16,496.01 = 6,649.78/x
  3. Step 3: Cross multiply
    11,954.98x = 16,496.01 × 6,649.78
  4. Step 4: Simplify right side
    11,954.98x = 109,694,837.38
  5. Step 5: Solve for x
    x = 109,694,837.38/11,954.98
  6. Step 6: Final answer
    x = 9,175.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.