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Finding the Fourth Proportional to 6,287.90, 9,431.19 and 3,166.64

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Solution

The fourth proportional to 6,287.90, 9,431.19 and 3,166.64 is: 4,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.90 : 9,431.19 = 3,166.64 : x
  2. Step 2: Convert to fraction form
    6,287.90/9,431.19 = 3,166.64/x
  3. Step 3: Cross multiply
    6,287.90x = 9,431.19 × 3,166.64
  4. Step 4: Simplify right side
    6,287.90x = 29,865,183.50
  5. Step 5: Solve for x
    x = 29,865,183.50/6,287.90
  6. Step 6: Final answer
    x = 4,749.63

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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.