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Finding the Fourth Proportional to 6,149.58, 9,224.32 and 1,767.02

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Solution

The fourth proportional to 6,149.58, 9,224.32 and 1,767.02 is: 2,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.58 : 9,224.32 = 1,767.02 : x
  2. Step 2: Convert to fraction form
    6,149.58/9,224.32 = 1,767.02/x
  3. Step 3: Cross multiply
    6,149.58x = 9,224.32 × 1,767.02
  4. Step 4: Simplify right side
    6,149.58x = 16,299,557.93
  5. Step 5: Solve for x
    x = 16,299,557.93/6,149.58
  6. Step 6: Final answer
    x = 2,650.52

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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.