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Finding the Fourth Proportional to 6,743.92, 9,306.12 and 3,910.32

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Solution

The fourth proportional to 6,743.92, 9,306.12 and 3,910.32 is: 5,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.92 : 9,306.12 = 3,910.32 : x
  2. Step 2: Convert to fraction form
    6,743.92/9,306.12 = 3,910.32/x
  3. Step 3: Cross multiply
    6,743.92x = 9,306.12 × 3,910.32
  4. Step 4: Simplify right side
    6,743.92x = 36,389,907.16
  5. Step 5: Solve for x
    x = 36,389,907.16/6,743.92
  6. Step 6: Final answer
    x = 5,395.96

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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.