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Finding the Fourth Proportional to 6,774.69, 10,161.86 and 3,074.22

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Solution

The fourth proportional to 6,774.69, 10,161.86 and 3,074.22 is: 4,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.69 : 10,161.86 = 3,074.22 : x
  2. Step 2: Convert to fraction form
    6,774.69/10,161.86 = 3,074.22/x
  3. Step 3: Cross multiply
    6,774.69x = 10,161.86 × 3,074.22
  4. Step 4: Simplify right side
    6,774.69x = 31,239,777.88
  5. Step 5: Solve for x
    x = 31,239,777.88/6,774.69
  6. Step 6: Final answer
    x = 4,611.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.