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Finding the Fourth Proportional to 6,482.71, 9,727.84 and 2,734.25

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Solution

The fourth proportional to 6,482.71, 9,727.84 and 2,734.25 is: 4,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.71 : 9,727.84 = 2,734.25 : x
  2. Step 2: Convert to fraction form
    6,482.71/9,727.84 = 2,734.25/x
  3. Step 3: Cross multiply
    6,482.71x = 9,727.84 × 2,734.25
  4. Step 4: Simplify right side
    6,482.71x = 26,598,346.52
  5. Step 5: Solve for x
    x = 26,598,346.52/6,482.71
  6. Step 6: Final answer
    x = 4,102.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.