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Finding the Fourth Proportional to 6,982.62, 10,473.84 and 2,304.78

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Solution

The fourth proportional to 6,982.62, 10,473.84 and 2,304.78 is: 3,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.62 : 10,473.84 = 2,304.78 : x
  2. Step 2: Convert to fraction form
    6,982.62/10,473.84 = 2,304.78/x
  3. Step 3: Cross multiply
    6,982.62x = 10,473.84 × 2,304.78
  4. Step 4: Simplify right side
    6,982.62x = 24,139,896.96
  5. Step 5: Solve for x
    x = 24,139,896.96/6,982.62
  6. Step 6: Final answer
    x = 3,457.14

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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.