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Finding the Fourth Proportional to 6,442.80, 9,667.80 and 2,744.40

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Solution

The fourth proportional to 6,442.80, 9,667.80 and 2,744.40 is: 4,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.80 : 9,667.80 = 2,744.40 : x
  2. Step 2: Convert to fraction form
    6,442.80/9,667.80 = 2,744.40/x
  3. Step 3: Cross multiply
    6,442.80x = 9,667.80 × 2,744.40
  4. Step 4: Simplify right side
    6,442.80x = 26,532,310.32
  5. Step 5: Solve for x
    x = 26,532,310.32/6,442.80
  6. Step 6: Final answer
    x = 4,118.13

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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.