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Finding the Fourth Proportional to 6,718.56, 9,272.13 and 3,734.64

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Solution

The fourth proportional to 6,718.56, 9,272.13 and 3,734.64 is: 5,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.56 : 9,272.13 = 3,734.64 : x
  2. Step 2: Convert to fraction form
    6,718.56/9,272.13 = 3,734.64/x
  3. Step 3: Cross multiply
    6,718.56x = 9,272.13 × 3,734.64
  4. Step 4: Simplify right side
    6,718.56x = 34,628,067.58
  5. Step 5: Solve for x
    x = 34,628,067.58/6,718.56
  6. Step 6: Final answer
    x = 5,154.09

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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.