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Finding the Fourth Proportional to 6,768.62, 9,341.09 and 3,784.38

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Solution

The fourth proportional to 6,768.62, 9,341.09 and 3,784.38 is: 5,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.62 : 9,341.09 = 3,784.38 : x
  2. Step 2: Convert to fraction form
    6,768.62/9,341.09 = 3,784.38/x
  3. Step 3: Cross multiply
    6,768.62x = 9,341.09 × 3,784.38
  4. Step 4: Simplify right side
    6,768.62x = 35,350,234.17
  5. Step 5: Solve for x
    x = 35,350,234.17/6,768.62
  6. Step 6: Final answer
    x = 5,222.66

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1.5x scale

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.