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Finding the Fourth Proportional to 7,696.44, 11,540.88 and 2,765.40

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Solution

The fourth proportional to 7,696.44, 11,540.88 and 2,765.40 is: 4,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.44 : 11,540.88 = 2,765.40 : x
  2. Step 2: Convert to fraction form
    7,696.44/11,540.88 = 2,765.40/x
  3. Step 3: Cross multiply
    7,696.44x = 11,540.88 × 2,765.40
  4. Step 4: Simplify right side
    7,696.44x = 31,915,149.55
  5. Step 5: Solve for x
    x = 31,915,149.55/7,696.44
  6. Step 6: Final answer
    x = 4,146.74

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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.