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Finding the Fourth Proportional to 7,192.62, 10,789.68 and 1,998.50

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Solution

The fourth proportional to 7,192.62, 10,789.68 and 1,998.50 is: 2,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.62 : 10,789.68 = 1,998.50 : x
  2. Step 2: Convert to fraction form
    7,192.62/10,789.68 = 1,998.50/x
  3. Step 3: Cross multiply
    7,192.62x = 10,789.68 × 1,998.50
  4. Step 4: Simplify right side
    7,192.62x = 21,563,175.48
  5. Step 5: Solve for x
    x = 21,563,175.48/7,192.62
  6. Step 6: Final answer
    x = 2,997.96

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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.