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Finding the Fourth Proportional to 6,499.54, 9,748.10 and 2,550.64

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Solution

The fourth proportional to 6,499.54, 9,748.10 and 2,550.64 is: 3,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.54 : 9,748.10 = 2,550.64 : x
  2. Step 2: Convert to fraction form
    6,499.54/9,748.10 = 2,550.64/x
  3. Step 3: Cross multiply
    6,499.54x = 9,748.10 × 2,550.64
  4. Step 4: Simplify right side
    6,499.54x = 24,863,879.72
  5. Step 5: Solve for x
    x = 24,863,879.72/6,499.54
  6. Step 6: Final answer
    x = 3,825.48

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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.