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Finding the Fourth Proportional to 7,691.63, 11,538.96 and 2,761.63

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Solution

The fourth proportional to 7,691.63, 11,538.96 and 2,761.63 is: 4,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.63 : 11,538.96 = 2,761.63 : x
  2. Step 2: Convert to fraction form
    7,691.63/11,538.96 = 2,761.63/x
  3. Step 3: Cross multiply
    7,691.63x = 11,538.96 × 2,761.63
  4. Step 4: Simplify right side
    7,691.63x = 31,866,338.10
  5. Step 5: Solve for x
    x = 31,866,338.10/7,691.63
  6. Step 6: Final answer
    x = 4,142.99

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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.