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Finding the Fourth Proportional to 6,833.62, 10,250.43 and 4,524.58

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Solution

The fourth proportional to 6,833.62, 10,250.43 and 4,524.58 is: 6,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.62 : 10,250.43 = 4,524.58 : x
  2. Step 2: Convert to fraction form
    6,833.62/10,250.43 = 4,524.58/x
  3. Step 3: Cross multiply
    6,833.62x = 10,250.43 × 4,524.58
  4. Step 4: Simplify right side
    6,833.62x = 46,378,890.57
  5. Step 5: Solve for x
    x = 46,378,890.57/6,833.62
  6. Step 6: Final answer
    x = 6,786.87

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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.