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Finding the Fourth Proportional to 6,185.50, 9,269.81 and 2,851.81

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Solution

The fourth proportional to 6,185.50, 9,269.81 and 2,851.81 is: 4,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.50 : 9,269.81 = 2,851.81 : x
  2. Step 2: Convert to fraction form
    6,185.50/9,269.81 = 2,851.81/x
  3. Step 3: Cross multiply
    6,185.50x = 9,269.81 × 2,851.81
  4. Step 4: Simplify right side
    6,185.50x = 26,435,736.86
  5. Step 5: Solve for x
    x = 26,435,736.86/6,185.50
  6. Step 6: Final answer
    x = 4,273.82

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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.