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Finding the Fourth Proportional to 6,906.75, 10,361.64 and 2,524.10

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Solution

The fourth proportional to 6,906.75, 10,361.64 and 2,524.10 is: 3,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.75 : 10,361.64 = 2,524.10 : x
  2. Step 2: Convert to fraction form
    6,906.75/10,361.64 = 2,524.10/x
  3. Step 3: Cross multiply
    6,906.75x = 10,361.64 × 2,524.10
  4. Step 4: Simplify right side
    6,906.75x = 26,153,763.72
  5. Step 5: Solve for x
    x = 26,153,763.72/6,906.75
  6. Step 6: Final answer
    x = 3,786.70

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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.