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Finding the Fourth Proportional to 7,735.38, 10,674.83 and 4,198.59

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Solution

The fourth proportional to 7,735.38, 10,674.83 and 4,198.59 is: 5,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.38 : 10,674.83 = 4,198.59 : x
  2. Step 2: Convert to fraction form
    7,735.38/10,674.83 = 4,198.59/x
  3. Step 3: Cross multiply
    7,735.38x = 10,674.83 × 4,198.59
  4. Step 4: Simplify right side
    7,735.38x = 44,819,234.49
  5. Step 5: Solve for x
    x = 44,819,234.49/7,735.38
  6. Step 6: Final answer
    x = 5,794.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.