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Finding the Fourth Proportional to 6,982.92, 10,472.81 and 2,051.24

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Solution

The fourth proportional to 6,982.92, 10,472.81 and 2,051.24 is: 3,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.92 : 10,472.81 = 2,051.24 : x
  2. Step 2: Convert to fraction form
    6,982.92/10,472.81 = 2,051.24/x
  3. Step 3: Cross multiply
    6,982.92x = 10,472.81 × 2,051.24
  4. Step 4: Simplify right side
    6,982.92x = 21,482,184.16
  5. Step 5: Solve for x
    x = 21,482,184.16/6,982.92
  6. Step 6: Final answer
    x = 3,076.39

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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.