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Finding the Fourth Proportional to 6,414.09, 9,613.63 and 5,685.09

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Solution

The fourth proportional to 6,414.09, 9,613.63 and 5,685.09 is: 8,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.09 : 9,613.63 = 5,685.09 : x
  2. Step 2: Convert to fraction form
    6,414.09/9,613.63 = 5,685.09/x
  3. Step 3: Cross multiply
    6,414.09x = 9,613.63 × 5,685.09
  4. Step 4: Simplify right side
    6,414.09x = 54,654,351.78
  5. Step 5: Solve for x
    x = 54,654,351.78/6,414.09
  6. Step 6: Final answer
    x = 8,520.98

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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.