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Finding the Fourth Proportional to 6,469.34, 9,705.42 and 2,573.64

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Solution

The fourth proportional to 6,469.34, 9,705.42 and 2,573.64 is: 3,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.34 : 9,705.42 = 2,573.64 : x
  2. Step 2: Convert to fraction form
    6,469.34/9,705.42 = 2,573.64/x
  3. Step 3: Cross multiply
    6,469.34x = 9,705.42 × 2,573.64
  4. Step 4: Simplify right side
    6,469.34x = 24,978,257.13
  5. Step 5: Solve for x
    x = 24,978,257.13/6,469.34
  6. Step 6: Final answer
    x = 3,861.02

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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.