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Finding the Fourth Proportional to 6,151.70, 9,226.63 and 1,992.07

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Solution

The fourth proportional to 6,151.70, 9,226.63 and 1,992.07 is: 2,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.70 : 9,226.63 = 1,992.07 : x
  2. Step 2: Convert to fraction form
    6,151.70/9,226.63 = 1,992.07/x
  3. Step 3: Cross multiply
    6,151.70x = 9,226.63 × 1,992.07
  4. Step 4: Simplify right side
    6,151.70x = 18,380,086.50
  5. Step 5: Solve for x
    x = 18,380,086.50/6,151.70
  6. Step 6: Final answer
    x = 2,987.81

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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.