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Finding the Fourth Proportional to 7,969.96, 11,950.38 and 3,284.44

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Solution

The fourth proportional to 7,969.96, 11,950.38 and 3,284.44 is: 4,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.96 : 11,950.38 = 3,284.44 : x
  2. Step 2: Convert to fraction form
    7,969.96/11,950.38 = 3,284.44/x
  3. Step 3: Cross multiply
    7,969.96x = 11,950.38 × 3,284.44
  4. Step 4: Simplify right side
    7,969.96x = 39,250,306.09
  5. Step 5: Solve for x
    x = 39,250,306.09/7,969.96
  6. Step 6: Final answer
    x = 4,924.78

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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.