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Finding the Fourth Proportional to 6,912.64, 10,367.52 and 2,233.06

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Solution

The fourth proportional to 6,912.64, 10,367.52 and 2,233.06 is: 3,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.64 : 10,367.52 = 2,233.06 : x
  2. Step 2: Convert to fraction form
    6,912.64/10,367.52 = 2,233.06/x
  3. Step 3: Cross multiply
    6,912.64x = 10,367.52 × 2,233.06
  4. Step 4: Simplify right side
    6,912.64x = 23,151,294.21
  5. Step 5: Solve for x
    x = 23,151,294.21/6,912.64
  6. Step 6: Final answer
    x = 3,349.12

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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.