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Finding the Fourth Proportional to 6,938.57, 9,575.24 and 3,794.73

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Solution

The fourth proportional to 6,938.57, 9,575.24 and 3,794.73 is: 5,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.57 : 9,575.24 = 3,794.73 : x
  2. Step 2: Convert to fraction form
    6,938.57/9,575.24 = 3,794.73/x
  3. Step 3: Cross multiply
    6,938.57x = 9,575.24 × 3,794.73
  4. Step 4: Simplify right side
    6,938.57x = 36,335,431.51
  5. Step 5: Solve for x
    x = 36,335,431.51/6,938.57
  6. Step 6: Final answer
    x = 5,236.74

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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.