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Finding the Fourth Proportional to 6,774.38, 9,348.82 and 3,790.19

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Solution

The fourth proportional to 6,774.38, 9,348.82 and 3,790.19 is: 5,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.38 : 9,348.82 = 3,790.19 : x
  2. Step 2: Convert to fraction form
    6,774.38/9,348.82 = 3,790.19/x
  3. Step 3: Cross multiply
    6,774.38x = 9,348.82 × 3,790.19
  4. Step 4: Simplify right side
    6,774.38x = 35,433,817.97
  5. Step 5: Solve for x
    x = 35,433,817.97/6,774.38
  6. Step 6: Final answer
    x = 5,230.56

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1.5x scale

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.