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Finding the Fourth Proportional to 6,829.52, 10,236.24 and 2,879.93

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Solution

The fourth proportional to 6,829.52, 10,236.24 and 2,879.93 is: 4,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.52 : 10,236.24 = 2,879.93 : x
  2. Step 2: Convert to fraction form
    6,829.52/10,236.24 = 2,879.93/x
  3. Step 3: Cross multiply
    6,829.52x = 10,236.24 × 2,879.93
  4. Step 4: Simplify right side
    6,829.52x = 29,479,654.66
  5. Step 5: Solve for x
    x = 29,479,654.66/6,829.52
  6. Step 6: Final answer
    x = 4,316.50

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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.