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Finding the Fourth Proportional to 6,397.65, 9,596.88 and 2,014.47

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Solution

The fourth proportional to 6,397.65, 9,596.88 and 2,014.47 is: 3,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.65 : 9,596.88 = 2,014.47 : x
  2. Step 2: Convert to fraction form
    6,397.65/9,596.88 = 2,014.47/x
  3. Step 3: Cross multiply
    6,397.65x = 9,596.88 × 2,014.47
  4. Step 4: Simplify right side
    6,397.65x = 19,332,626.85
  5. Step 5: Solve for x
    x = 19,332,626.85/6,397.65
  6. Step 6: Final answer
    x = 3,021.83

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1.5x scale

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.