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Finding the Fourth Proportional to 10,973.73, 16,447.38 and 6,296.97

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Solution

The fourth proportional to 10,973.73, 16,447.38 and 6,296.97 is: 9,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.73 : 16,447.38 = 6,296.97 : x
  2. Step 2: Convert to fraction form
    10,973.73/16,447.38 = 6,296.97/x
  3. Step 3: Cross multiply
    10,973.73x = 16,447.38 × 6,296.97
  4. Step 4: Simplify right side
    10,973.73x = 103,568,575.44
  5. Step 5: Solve for x
    x = 103,568,575.44/10,973.73
  6. Step 6: Final answer
    x = 9,437.87

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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.