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Finding the Fourth Proportional to 6,306.76, 9,462.88 and 3,381.65

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Solution

The fourth proportional to 6,306.76, 9,462.88 and 3,381.65 is: 5,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.76 : 9,462.88 = 3,381.65 : x
  2. Step 2: Convert to fraction form
    6,306.76/9,462.88 = 3,381.65/x
  3. Step 3: Cross multiply
    6,306.76x = 9,462.88 × 3,381.65
  4. Step 4: Simplify right side
    6,306.76x = 32,000,121.53
  5. Step 5: Solve for x
    x = 32,000,121.53/6,306.76
  6. Step 6: Final answer
    x = 5,073.94

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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.