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Finding the Fourth Proportional to 11,995.50, 17,998.46 and 6,442.38

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Solution

The fourth proportional to 11,995.50, 17,998.46 and 6,442.38 is: 9,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.50 : 17,998.46 = 6,442.38 : x
  2. Step 2: Convert to fraction form
    11,995.50/17,998.46 = 6,442.38/x
  3. Step 3: Cross multiply
    11,995.50x = 17,998.46 × 6,442.38
  4. Step 4: Simplify right side
    11,995.50x = 115,952,918.73
  5. Step 5: Solve for x
    x = 115,952,918.73/11,995.50
  6. Step 6: Final answer
    x = 9,666.37

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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.