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Finding the Fourth Proportional to 6,998.34, 10,490.79 and 2,614.62

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Solution

The fourth proportional to 6,998.34, 10,490.79 and 2,614.62 is: 3,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.34 : 10,490.79 = 2,614.62 : x
  2. Step 2: Convert to fraction form
    6,998.34/10,490.79 = 2,614.62/x
  3. Step 3: Cross multiply
    6,998.34x = 10,490.79 × 2,614.62
  4. Step 4: Simplify right side
    6,998.34x = 27,429,429.35
  5. Step 5: Solve for x
    x = 27,429,429.35/6,998.34
  6. Step 6: Final answer
    x = 3,919.42

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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.