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Finding the Fourth Proportional to 8,297.52, 12,446.46 and 3,100.56

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Solution

The fourth proportional to 8,297.52, 12,446.46 and 3,100.56 is: 4,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.52 : 12,446.46 = 3,100.56 : x
  2. Step 2: Convert to fraction form
    8,297.52/12,446.46 = 3,100.56/x
  3. Step 3: Cross multiply
    8,297.52x = 12,446.46 × 3,100.56
  4. Step 4: Simplify right side
    8,297.52x = 38,590,996.02
  5. Step 5: Solve for x
    x = 38,590,996.02/8,297.52
  6. Step 6: Final answer
    x = 4,650.91

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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.