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Finding the Fourth Proportional to 6,743.07, 9,305.82 and 3,759.57

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Solution

The fourth proportional to 6,743.07, 9,305.82 and 3,759.57 is: 5,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.07 : 9,305.82 = 3,759.57 : x
  2. Step 2: Convert to fraction form
    6,743.07/9,305.82 = 3,759.57/x
  3. Step 3: Cross multiply
    6,743.07x = 9,305.82 × 3,759.57
  4. Step 4: Simplify right side
    6,743.07x = 34,985,881.70
  5. Step 5: Solve for x
    x = 34,985,881.70/6,743.07
  6. Step 6: Final answer
    x = 5,188.42

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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.