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Finding the Fourth Proportional to 7,713.14, 11,540.99 and 6,771.62

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Solution

The fourth proportional to 7,713.14, 11,540.99 and 6,771.62 is: 10,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.14 : 11,540.99 = 6,771.62 : x
  2. Step 2: Convert to fraction form
    7,713.14/11,540.99 = 6,771.62/x
  3. Step 3: Cross multiply
    7,713.14x = 11,540.99 × 6,771.62
  4. Step 4: Simplify right side
    7,713.14x = 78,151,244.49
  5. Step 5: Solve for x
    x = 78,151,244.49/7,713.14
  6. Step 6: Final answer
    x = 10,132.23

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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.