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Finding the Fourth Proportional to 6,743.78, 9,305.93 and 3,759.78

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Solution

The fourth proportional to 6,743.78, 9,305.93 and 3,759.78 is: 5,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.78 : 9,305.93 = 3,759.78 : x
  2. Step 2: Convert to fraction form
    6,743.78/9,305.93 = 3,759.78/x
  3. Step 3: Cross multiply
    6,743.78x = 9,305.93 × 3,759.78
  4. Step 4: Simplify right side
    6,743.78x = 34,988,230.70
  5. Step 5: Solve for x
    x = 34,988,230.70/6,743.78
  6. Step 6: Final answer
    x = 5,188.23

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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.