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Finding the Fourth Proportional to 7,630.29, 10,530 and 4,273.09

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Solution

The fourth proportional to 7,630.29, 10,530 and 4,273.09 is: 5,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.29 : 10,530 = 4,273.09 : x
  2. Step 2: Convert to fraction form
    7,630.29/10,530 = 4,273.09/x
  3. Step 3: Cross multiply
    7,630.29x = 10,530 × 4,273.09
  4. Step 4: Simplify right side
    7,630.29x = 44,995,611.38
  5. Step 5: Solve for x
    x = 44,995,611.38/7,630.29
  6. Step 6: Final answer
    x = 5,896.97

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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.