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Finding the Fourth Proportional to 6,774.26, 9,348.93 and 3,789.92

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Solution

The fourth proportional to 6,774.26, 9,348.93 and 3,789.92 is: 5,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.26 : 9,348.93 = 3,789.92 : x
  2. Step 2: Convert to fraction form
    6,774.26/9,348.93 = 3,789.92/x
  3. Step 3: Cross multiply
    6,774.26x = 9,348.93 × 3,789.92
  4. Step 4: Simplify right side
    6,774.26x = 35,431,720.16
  5. Step 5: Solve for x
    x = 35,431,720.16/6,774.26
  6. Step 6: Final answer
    x = 5,230.35

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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.