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Finding the Fourth Proportional to 6,577.52, 9,867.38 and 2,879.64

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Solution

The fourth proportional to 6,577.52, 9,867.38 and 2,879.64 is: 4,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.52 : 9,867.38 = 2,879.64 : x
  2. Step 2: Convert to fraction form
    6,577.52/9,867.38 = 2,879.64/x
  3. Step 3: Cross multiply
    6,577.52x = 9,867.38 × 2,879.64
  4. Step 4: Simplify right side
    6,577.52x = 28,414,487.75
  5. Step 5: Solve for x
    x = 28,414,487.75/6,577.52
  6. Step 6: Final answer
    x = 4,319.94

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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.