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Finding the Fourth Proportional to 6,449.13, 9,674.70 and 2,751.39

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Solution

The fourth proportional to 6,449.13, 9,674.70 and 2,751.39 is: 4,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.13 : 9,674.70 = 2,751.39 : x
  2. Step 2: Convert to fraction form
    6,449.13/9,674.70 = 2,751.39/x
  3. Step 3: Cross multiply
    6,449.13x = 9,674.70 × 2,751.39
  4. Step 4: Simplify right side
    6,449.13x = 26,618,872.83
  5. Step 5: Solve for x
    x = 26,618,872.83/6,449.13
  6. Step 6: Final answer
    x = 4,127.51

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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.