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Finding the Fourth Proportional to 12,197.26, 16,832.54 and 6,891.96

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Solution

The fourth proportional to 12,197.26, 16,832.54 and 6,891.96 is: 9,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.26 : 16,832.54 = 6,891.96 : x
  2. Step 2: Convert to fraction form
    12,197.26/16,832.54 = 6,891.96/x
  3. Step 3: Cross multiply
    12,197.26x = 16,832.54 × 6,891.96
  4. Step 4: Simplify right side
    12,197.26x = 116,009,192.38
  5. Step 5: Solve for x
    x = 116,009,192.38/12,197.26
  6. Step 6: Final answer
    x = 9,511.09

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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.