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Finding the Fourth Proportional to 6,976.65, 10,456.06 and 3,270.71

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Solution

The fourth proportional to 6,976.65, 10,456.06 and 3,270.71 is: 4,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.65 : 10,456.06 = 3,270.71 : x
  2. Step 2: Convert to fraction form
    6,976.65/10,456.06 = 3,270.71/x
  3. Step 3: Cross multiply
    6,976.65x = 10,456.06 × 3,270.71
  4. Step 4: Simplify right side
    6,976.65x = 34,198,723.65
  5. Step 5: Solve for x
    x = 34,198,723.65/6,976.65
  6. Step 6: Final answer
    x = 4,901.89

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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.