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Finding the Fourth Proportional to 6,198.42, 9,297.63 and 1,581.42

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Solution

The fourth proportional to 6,198.42, 9,297.63 and 1,581.42 is: 2,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.42 : 9,297.63 = 1,581.42 : x
  2. Step 2: Convert to fraction form
    6,198.42/9,297.63 = 1,581.42/x
  3. Step 3: Cross multiply
    6,198.42x = 9,297.63 × 1,581.42
  4. Step 4: Simplify right side
    6,198.42x = 14,703,458.03
  5. Step 5: Solve for x
    x = 14,703,458.03/6,198.42
  6. Step 6: Final answer
    x = 2,372.13

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Similar ratio
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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.