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Finding the Fourth Proportional to 6,849.96, 10,274.88 and 2,232.96

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Solution

The fourth proportional to 6,849.96, 10,274.88 and 2,232.96 is: 3,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.96 : 10,274.88 = 2,232.96 : x
  2. Step 2: Convert to fraction form
    6,849.96/10,274.88 = 2,232.96/x
  3. Step 3: Cross multiply
    6,849.96x = 10,274.88 × 2,232.96
  4. Step 4: Simplify right side
    6,849.96x = 22,943,396.04
  5. Step 5: Solve for x
    x = 22,943,396.04/6,849.96
  6. Step 6: Final answer
    x = 3,349.42

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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.