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Finding the Fourth Proportional to 6,630.90, 9,943.11 and 3,858.54

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Solution

The fourth proportional to 6,630.90, 9,943.11 and 3,858.54 is: 5,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.90 : 9,943.11 = 3,858.54 : x
  2. Step 2: Convert to fraction form
    6,630.90/9,943.11 = 3,858.54/x
  3. Step 3: Cross multiply
    6,630.90x = 9,943.11 × 3,858.54
  4. Step 4: Simplify right side
    6,630.90x = 38,365,887.66
  5. Step 5: Solve for x
    x = 38,365,887.66/6,630.90
  6. Step 6: Final answer
    x = 5,785.92

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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.