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Finding the Fourth Proportional to 6,819.16, 10,226.22 and 5,361.16

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Solution

The fourth proportional to 6,819.16, 10,226.22 and 5,361.16 is: 8,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.16 : 10,226.22 = 5,361.16 : x
  2. Step 2: Convert to fraction form
    6,819.16/10,226.22 = 5,361.16/x
  3. Step 3: Cross multiply
    6,819.16x = 10,226.22 × 5,361.16
  4. Step 4: Simplify right side
    6,819.16x = 54,824,401.62
  5. Step 5: Solve for x
    x = 54,824,401.62/6,819.16
  6. Step 6: Final answer
    x = 8,039.76

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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.