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Finding the Fourth Proportional to 6,198.49, 9,302.25 and 2,913.85

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Solution

The fourth proportional to 6,198.49, 9,302.25 and 2,913.85 is: 4,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.49 : 9,302.25 = 2,913.85 : x
  2. Step 2: Convert to fraction form
    6,198.49/9,302.25 = 2,913.85/x
  3. Step 3: Cross multiply
    6,198.49x = 9,302.25 × 2,913.85
  4. Step 4: Simplify right side
    6,198.49x = 27,105,361.16
  5. Step 5: Solve for x
    x = 27,105,361.16/6,198.49
  6. Step 6: Final answer
    x = 4,372.90

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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.