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Finding the Fourth Proportional to 6,997, 10,496.22 and 2,067.88

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Solution

The fourth proportional to 6,997, 10,496.22 and 2,067.88 is: 3,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997 : 10,496.22 = 2,067.88 : x
  2. Step 2: Convert to fraction form
    6,997/10,496.22 = 2,067.88/x
  3. Step 3: Cross multiply
    6,997x = 10,496.22 × 2,067.88
  4. Step 4: Simplify right side
    6,997x = 21,704,923.41
  5. Step 5: Solve for x
    x = 21,704,923.41/6,997
  6. Step 6: Final answer
    x = 3,102.03

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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.