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Finding the Fourth Proportional to 6,474.68, 9,704.67 and 5,693.17

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Solution

The fourth proportional to 6,474.68, 9,704.67 and 5,693.17 is: 8,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.68 : 9,704.67 = 5,693.17 : x
  2. Step 2: Convert to fraction form
    6,474.68/9,704.67 = 5,693.17/x
  3. Step 3: Cross multiply
    6,474.68x = 9,704.67 × 5,693.17
  4. Step 4: Simplify right side
    6,474.68x = 55,250,311.84
  5. Step 5: Solve for x
    x = 55,250,311.84/6,474.68
  6. Step 6: Final answer
    x = 8,533.29

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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.