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Finding the Fourth Proportional to 6,938.26, 9,574.80 and 3,794.44

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Solution

The fourth proportional to 6,938.26, 9,574.80 and 3,794.44 is: 5,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.26 : 9,574.80 = 3,794.44 : x
  2. Step 2: Convert to fraction form
    6,938.26/9,574.80 = 3,794.44/x
  3. Step 3: Cross multiply
    6,938.26x = 9,574.80 × 3,794.44
  4. Step 4: Simplify right side
    6,938.26x = 36,331,004.11
  5. Step 5: Solve for x
    x = 36,331,004.11/6,938.26
  6. Step 6: Final answer
    x = 5,236.33

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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.