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Finding the Fourth Proportional to 6,640.54, 9,962.43 and 2,023.54

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Solution

The fourth proportional to 6,640.54, 9,962.43 and 2,023.54 is: 3,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.54 : 9,962.43 = 2,023.54 : x
  2. Step 2: Convert to fraction form
    6,640.54/9,962.43 = 2,023.54/x
  3. Step 3: Cross multiply
    6,640.54x = 9,962.43 × 2,023.54
  4. Step 4: Simplify right side
    6,640.54x = 20,159,375.60
  5. Step 5: Solve for x
    x = 20,159,375.60/6,640.54
  6. Step 6: Final answer
    x = 3,035.80

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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.