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Finding the Fourth Proportional to 6,396.42, 9,595.92 and 2,698.65

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Solution

The fourth proportional to 6,396.42, 9,595.92 and 2,698.65 is: 4,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.42 : 9,595.92 = 2,698.65 : x
  2. Step 2: Convert to fraction form
    6,396.42/9,595.92 = 2,698.65/x
  3. Step 3: Cross multiply
    6,396.42x = 9,595.92 × 2,698.65
  4. Step 4: Simplify right side
    6,396.42x = 25,896,046.75
  5. Step 5: Solve for x
    x = 25,896,046.75/6,396.42
  6. Step 6: Final answer
    x = 4,048.53

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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.