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Finding the Fourth Proportional to 6,109.52, 9,163.80 and 1,949.68

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Solution

The fourth proportional to 6,109.52, 9,163.80 and 1,949.68 is: 2,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.52 : 9,163.80 = 1,949.68 : x
  2. Step 2: Convert to fraction form
    6,109.52/9,163.80 = 1,949.68/x
  3. Step 3: Cross multiply
    6,109.52x = 9,163.80 × 1,949.68
  4. Step 4: Simplify right side
    6,109.52x = 17,866,477.58
  5. Step 5: Solve for x
    x = 17,866,477.58/6,109.52
  6. Step 6: Final answer
    x = 2,924.37

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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.