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Finding the Fourth Proportional to 8,474.14, 11,694.30 and 4,748.14

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Solution

The fourth proportional to 8,474.14, 11,694.30 and 4,748.14 is: 6,552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.14 : 11,694.30 = 4,748.14 : x
  2. Step 2: Convert to fraction form
    8,474.14/11,694.30 = 4,748.14/x
  3. Step 3: Cross multiply
    8,474.14x = 11,694.30 × 4,748.14
  4. Step 4: Simplify right side
    8,474.14x = 55,526,173.60
  5. Step 5: Solve for x
    x = 55,526,173.60/8,474.14
  6. Step 6: Final answer
    x = 6,552.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.