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Finding the Fourth Proportional to 6,381.65, 9,568.81 and 3,416.44

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Solution

The fourth proportional to 6,381.65, 9,568.81 and 3,416.44 is: 5,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.65 : 9,568.81 = 3,416.44 : x
  2. Step 2: Convert to fraction form
    6,381.65/9,568.81 = 3,416.44/x
  3. Step 3: Cross multiply
    6,381.65x = 9,568.81 × 3,416.44
  4. Step 4: Simplify right side
    6,381.65x = 32,691,265.24
  5. Step 5: Solve for x
    x = 32,691,265.24/6,381.65
  6. Step 6: Final answer
    x = 5,122.70

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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.