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Finding the Fourth Proportional to 6,110.54, 9,166.48 and 1,949.09

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Solution

The fourth proportional to 6,110.54, 9,166.48 and 1,949.09 is: 2,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.54 : 9,166.48 = 1,949.09 : x
  2. Step 2: Convert to fraction form
    6,110.54/9,166.48 = 1,949.09/x
  3. Step 3: Cross multiply
    6,110.54x = 9,166.48 × 1,949.09
  4. Step 4: Simplify right side
    6,110.54x = 17,866,294.50
  5. Step 5: Solve for x
    x = 17,866,294.50/6,110.54
  6. Step 6: Final answer
    x = 2,923.85

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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.