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Finding the Fourth Proportional to 6,198.97, 8,554.78 and 3,404.47

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Solution

The fourth proportional to 6,198.97, 8,554.78 and 3,404.47 is: 4,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.97 : 8,554.78 = 3,404.47 : x
  2. Step 2: Convert to fraction form
    6,198.97/8,554.78 = 3,404.47/x
  3. Step 3: Cross multiply
    6,198.97x = 8,554.78 × 3,404.47
  4. Step 4: Simplify right side
    6,198.97x = 29,124,491.87
  5. Step 5: Solve for x
    x = 29,124,491.87/6,198.97
  6. Step 6: Final answer
    x = 4,698.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.