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Finding the Fourth Proportional to 9,684.57, 14,524.97 and 2,662.78

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Solution

The fourth proportional to 9,684.57, 14,524.97 and 2,662.78 is: 3,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.57 : 14,524.97 = 2,662.78 : x
  2. Step 2: Convert to fraction form
    9,684.57/14,524.97 = 2,662.78/x
  3. Step 3: Cross multiply
    9,684.57x = 14,524.97 × 2,662.78
  4. Step 4: Simplify right side
    9,684.57x = 38,676,713.68
  5. Step 5: Solve for x
    x = 38,676,713.68/9,684.57
  6. Step 6: Final answer
    x = 3,993.64

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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.