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Finding the Fourth Proportional to 7,609.98, 11,414.34 and 2,992.98

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Solution

The fourth proportional to 7,609.98, 11,414.34 and 2,992.98 is: 4,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.98 : 11,414.34 = 2,992.98 : x
  2. Step 2: Convert to fraction form
    7,609.98/11,414.34 = 2,992.98/x
  3. Step 3: Cross multiply
    7,609.98x = 11,414.34 × 2,992.98
  4. Step 4: Simplify right side
    7,609.98x = 34,162,891.33
  5. Step 5: Solve for x
    x = 34,162,891.33/7,609.98
  6. Step 6: Final answer
    x = 4,489.22

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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.