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Finding the Fourth Proportional to 12,556, 17,327.82 and 6,967

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Solution

The fourth proportional to 12,556, 17,327.82 and 6,967 is: 9,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556 : 17,327.82 = 6,967 : x
  2. Step 2: Convert to fraction form
    12,556/17,327.82 = 6,967/x
  3. Step 3: Cross multiply
    12,556x = 17,327.82 × 6,967
  4. Step 4: Simplify right side
    12,556x = 120,722,921.94
  5. Step 5: Solve for x
    x = 120,722,921.94/12,556
  6. Step 6: Final answer
    x = 9,614.76

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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.