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Finding the Fourth Proportional to 6,996.70, 10,496.56 and 3,488.60

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Solution

The fourth proportional to 6,996.70, 10,496.56 and 3,488.60 is: 5,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.70 : 10,496.56 = 3,488.60 : x
  2. Step 2: Convert to fraction form
    6,996.70/10,496.56 = 3,488.60/x
  3. Step 3: Cross multiply
    6,996.70x = 10,496.56 × 3,488.60
  4. Step 4: Simplify right side
    6,996.70x = 36,618,299.22
  5. Step 5: Solve for x
    x = 36,618,299.22/6,996.70
  6. Step 6: Final answer
    x = 5,233.65

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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.