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Finding the Fourth Proportional to 6,774.95, 10,162.36 and 1,844.55

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Solution

The fourth proportional to 6,774.95, 10,162.36 and 1,844.55 is: 2,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.95 : 10,162.36 = 1,844.55 : x
  2. Step 2: Convert to fraction form
    6,774.95/10,162.36 = 1,844.55/x
  3. Step 3: Cross multiply
    6,774.95x = 10,162.36 × 1,844.55
  4. Step 4: Simplify right side
    6,774.95x = 18,744,981.14
  5. Step 5: Solve for x
    x = 18,744,981.14/6,774.95
  6. Step 6: Final answer
    x = 2,766.81

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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.