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Finding the Fourth Proportional to 6,296, 9,442.52 and 2,594.56

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Solution

The fourth proportional to 6,296, 9,442.52 and 2,594.56 is: 3,891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296 : 9,442.52 = 2,594.56 : x
  2. Step 2: Convert to fraction form
    6,296/9,442.52 = 2,594.56/x
  3. Step 3: Cross multiply
    6,296x = 9,442.52 × 2,594.56
  4. Step 4: Simplify right side
    6,296x = 24,499,184.69
  5. Step 5: Solve for x
    x = 24,499,184.69/6,296
  6. Step 6: Final answer
    x = 3,891.23

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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.