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Finding the Fourth Proportional to 6,823, 10,236.90 and 3,362.68

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Solution

The fourth proportional to 6,823, 10,236.90 and 3,362.68 is: 5,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 10,236.90 = 3,362.68 : x
  2. Step 2: Convert to fraction form
    6,823/10,236.90 = 3,362.68/x
  3. Step 3: Cross multiply
    6,823x = 10,236.90 × 3,362.68
  4. Step 4: Simplify right side
    6,823x = 34,423,418.89
  5. Step 5: Solve for x
    x = 34,423,418.89/6,823
  6. Step 6: Final answer
    x = 5,045.20

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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.