Home / 6,823-10,231.75-2,662.41

Finding the Fourth Proportional to 6,823, 10,231.75 and 2,662.41

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Solution

The fourth proportional to 6,823, 10,231.75 and 2,662.41 is: 3,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 10,231.75 = 2,662.41 : x
  2. Step 2: Convert to fraction form
    6,823/10,231.75 = 2,662.41/x
  3. Step 3: Cross multiply
    6,823x = 10,231.75 × 2,662.41
  4. Step 4: Simplify right side
    6,823x = 27,241,113.52
  5. Step 5: Solve for x
    x = 27,241,113.52/6,823
  6. Step 6: Final answer
    x = 3,992.54

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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.