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Finding the Fourth Proportional to 6,147.52, 8,481.53 and 4,807.96

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Solution

The fourth proportional to 6,147.52, 8,481.53 and 4,807.96 is: 6,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.52 : 8,481.53 = 4,807.96 : x
  2. Step 2: Convert to fraction form
    6,147.52/8,481.53 = 4,807.96/x
  3. Step 3: Cross multiply
    6,147.52x = 8,481.53 × 4,807.96
  4. Step 4: Simplify right side
    6,147.52x = 40,778,847.79
  5. Step 5: Solve for x
    x = 40,778,847.79/6,147.52
  6. Step 6: Final answer
    x = 6,633.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.