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Finding the Fourth Proportional to 6,299.96, 9,452.06 and 2,789.48

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Solution

The fourth proportional to 6,299.96, 9,452.06 and 2,789.48 is: 4,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.96 : 9,452.06 = 2,789.48 : x
  2. Step 2: Convert to fraction form
    6,299.96/9,452.06 = 2,789.48/x
  3. Step 3: Cross multiply
    6,299.96x = 9,452.06 × 2,789.48
  4. Step 4: Simplify right side
    6,299.96x = 26,366,347.24
  5. Step 5: Solve for x
    x = 26,366,347.24/6,299.96
  6. Step 6: Final answer
    x = 4,185.16

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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.