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Finding the Fourth Proportional to 6,096, 8,412.48 and 3,613.44

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Solution

The fourth proportional to 6,096, 8,412.48 and 3,613.44 is: 4,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096 : 8,412.48 = 3,613.44 : x
  2. Step 2: Convert to fraction form
    6,096/8,412.48 = 3,613.44/x
  3. Step 3: Cross multiply
    6,096x = 8,412.48 × 3,613.44
  4. Step 4: Simplify right side
    6,096x = 30,397,991.73
  5. Step 5: Solve for x
    x = 30,397,991.73/6,096
  6. Step 6: Final answer
    x = 4,986.55

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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.