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Finding the Fourth Proportional to 6,998.25, 10,498.46 and 2,616.33

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Solution

The fourth proportional to 6,998.25, 10,498.46 and 2,616.33 is: 3,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.25 : 10,498.46 = 2,616.33 : x
  2. Step 2: Convert to fraction form
    6,998.25/10,498.46 = 2,616.33/x
  3. Step 3: Cross multiply
    6,998.25x = 10,498.46 × 2,616.33
  4. Step 4: Simplify right side
    6,998.25x = 27,467,422.77
  5. Step 5: Solve for x
    x = 27,467,422.77/6,998.25
  6. Step 6: Final answer
    x = 3,924.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.