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Finding the Fourth Proportional to 6,727.44, 9,283.68 and 3,743.38

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Solution

The fourth proportional to 6,727.44, 9,283.68 and 3,743.38 is: 5,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.44 : 9,283.68 = 3,743.38 : x
  2. Step 2: Convert to fraction form
    6,727.44/9,283.68 = 3,743.38/x
  3. Step 3: Cross multiply
    6,727.44x = 9,283.68 × 3,743.38
  4. Step 4: Simplify right side
    6,727.44x = 34,752,342.04
  5. Step 5: Solve for x
    x = 34,752,342.04/6,727.44
  6. Step 6: Final answer
    x = 5,165.76

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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.