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Finding the Fourth Proportional to 6,168.34, 9,252.60 and 2,881

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Solution

The fourth proportional to 6,168.34, 9,252.60 and 2,881 is: 4,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.34 : 9,252.60 = 2,881 : x
  2. Step 2: Convert to fraction form
    6,168.34/9,252.60 = 2,881/x
  3. Step 3: Cross multiply
    6,168.34x = 9,252.60 × 2,881
  4. Step 4: Simplify right side
    6,168.34x = 26,656,740.60
  5. Step 5: Solve for x
    x = 26,656,740.60/6,168.34
  6. Step 6: Final answer
    x = 4,321.54

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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.