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Finding the Fourth Proportional to 6,295.52, 9,447.34 and 2,399.96

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Solution

The fourth proportional to 6,295.52, 9,447.34 and 2,399.96 is: 3,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.52 : 9,447.34 = 2,399.96 : x
  2. Step 2: Convert to fraction form
    6,295.52/9,447.34 = 2,399.96/x
  3. Step 3: Cross multiply
    6,295.52x = 9,447.34 × 2,399.96
  4. Step 4: Simplify right side
    6,295.52x = 22,673,238.11
  5. Step 5: Solve for x
    x = 22,673,238.11/6,295.52
  6. Step 6: Final answer
    x = 3,601.49

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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.