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Finding the Fourth Proportional to 10,997.64, 16,496.49 and 2,677.66

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Solution

The fourth proportional to 10,997.64, 16,496.49 and 2,677.66 is: 4,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.64 : 16,496.49 = 2,677.66 : x
  2. Step 2: Convert to fraction form
    10,997.64/16,496.49 = 2,677.66/x
  3. Step 3: Cross multiply
    10,997.64x = 16,496.49 × 2,677.66
  4. Step 4: Simplify right side
    10,997.64x = 44,171,991.41
  5. Step 5: Solve for x
    x = 44,171,991.41/10,997.64
  6. Step 6: Final answer
    x = 4,016.50

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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.