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Finding the Fourth Proportional to 6,727.71, 9,284.68 and 3,743.54

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Solution

The fourth proportional to 6,727.71, 9,284.68 and 3,743.54 is: 5,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.71 : 9,284.68 = 3,743.54 : x
  2. Step 2: Convert to fraction form
    6,727.71/9,284.68 = 3,743.54/x
  3. Step 3: Cross multiply
    6,727.71x = 9,284.68 × 3,743.54
  4. Step 4: Simplify right side
    6,727.71x = 34,757,569.10
  5. Step 5: Solve for x
    x = 34,757,569.10/6,727.71
  6. Step 6: Final answer
    x = 5,166.33

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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.