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Finding the Fourth Proportional to 6,150.66, 9,224.97 and 1,767.14

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Solution

The fourth proportional to 6,150.66, 9,224.97 and 1,767.14 is: 2,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.66 : 9,224.97 = 1,767.14 : x
  2. Step 2: Convert to fraction form
    6,150.66/9,224.97 = 1,767.14/x
  3. Step 3: Cross multiply
    6,150.66x = 9,224.97 × 1,767.14
  4. Step 4: Simplify right side
    6,150.66x = 16,301,813.49
  5. Step 5: Solve for x
    x = 16,301,813.49/6,150.66
  6. Step 6: Final answer
    x = 2,650.42

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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.