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Finding the Fourth Proportional to 6,814.88, 10,224.24 and 2,198.24

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Solution

The fourth proportional to 6,814.88, 10,224.24 and 2,198.24 is: 3,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.88 : 10,224.24 = 2,198.24 : x
  2. Step 2: Convert to fraction form
    6,814.88/10,224.24 = 2,198.24/x
  3. Step 3: Cross multiply
    6,814.88x = 10,224.24 × 2,198.24
  4. Step 4: Simplify right side
    6,814.88x = 22,475,333.34
  5. Step 5: Solve for x
    x = 22,475,333.34/6,814.88
  6. Step 6: Final answer
    x = 3,297.98

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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.