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Finding the Fourth Proportional to 6,768.50, 9,340.89 and 3,784.15

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Solution

The fourth proportional to 6,768.50, 9,340.89 and 3,784.15 is: 5,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.50 : 9,340.89 = 3,784.15 : x
  2. Step 2: Convert to fraction form
    6,768.50/9,340.89 = 3,784.15/x
  3. Step 3: Cross multiply
    6,768.50x = 9,340.89 × 3,784.15
  4. Step 4: Simplify right side
    6,768.50x = 35,347,326.38
  5. Step 5: Solve for x
    x = 35,347,326.38/6,768.50
  6. Step 6: Final answer
    x = 5,222.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.