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Finding the Fourth Proportional to 6,794.46, 9,381.93 and 4,280.61

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Solution

The fourth proportional to 6,794.46, 9,381.93 and 4,280.61 is: 5,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.46 : 9,381.93 = 4,280.61 : x
  2. Step 2: Convert to fraction form
    6,794.46/9,381.93 = 4,280.61/x
  3. Step 3: Cross multiply
    6,794.46x = 9,381.93 × 4,280.61
  4. Step 4: Simplify right side
    6,794.46x = 40,160,383.38
  5. Step 5: Solve for x
    x = 40,160,383.38/6,794.46
  6. Step 6: Final answer
    x = 5,910.75

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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.