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Finding the Fourth Proportional to 6,982.87, 10,472.08 and 2,302.01

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Solution

The fourth proportional to 6,982.87, 10,472.08 and 2,302.01 is: 3,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.87 : 10,472.08 = 2,302.01 : x
  2. Step 2: Convert to fraction form
    6,982.87/10,472.08 = 2,302.01/x
  3. Step 3: Cross multiply
    6,982.87x = 10,472.08 × 2,302.01
  4. Step 4: Simplify right side
    6,982.87x = 24,106,780.52
  5. Step 5: Solve for x
    x = 24,106,780.52/6,982.87
  6. Step 6: Final answer
    x = 3,452.28

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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.