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Finding the Fourth Proportional to 6,150.96, 9,225.45 and 1,767.42

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Solution

The fourth proportional to 6,150.96, 9,225.45 and 1,767.42 is: 2,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.96 : 9,225.45 = 1,767.42 : x
  2. Step 2: Convert to fraction form
    6,150.96/9,225.45 = 1,767.42/x
  3. Step 3: Cross multiply
    6,150.96x = 9,225.45 × 1,767.42
  4. Step 4: Simplify right side
    6,150.96x = 16,305,244.84
  5. Step 5: Solve for x
    x = 16,305,244.84/6,150.96
  6. Step 6: Final answer
    x = 2,650.85

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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.