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Finding the Fourth Proportional to 7,997.70, 11,998 and 2,450.94

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Solution

The fourth proportional to 7,997.70, 11,998 and 2,450.94 is: 3,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.70 : 11,998 = 2,450.94 : x
  2. Step 2: Convert to fraction form
    7,997.70/11,998 = 2,450.94/x
  3. Step 3: Cross multiply
    7,997.70x = 11,998 × 2,450.94
  4. Step 4: Simplify right side
    7,997.70x = 29,406,378.12
  5. Step 5: Solve for x
    x = 29,406,378.12/7,997.70
  6. Step 6: Final answer
    x = 3,676.85

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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.