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Finding the Fourth Proportional to 6,296, 9,440 and 3,009.92

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Solution

The fourth proportional to 6,296, 9,440 and 3,009.92 is: 4,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296 : 9,440 = 3,009.92 : x
  2. Step 2: Convert to fraction form
    6,296/9,440 = 3,009.92/x
  3. Step 3: Cross multiply
    6,296x = 9,440 × 3,009.92
  4. Step 4: Simplify right side
    6,296x = 28,413,644.80
  5. Step 5: Solve for x
    x = 28,413,644.80/6,296
  6. Step 6: Final answer
    x = 4,512.97

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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.