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Finding the Fourth Proportional to 6,096.32, 9,149.81 and 2,978.63

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Solution

The fourth proportional to 6,096.32, 9,149.81 and 2,978.63 is: 4,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.32 : 9,149.81 = 2,978.63 : x
  2. Step 2: Convert to fraction form
    6,096.32/9,149.81 = 2,978.63/x
  3. Step 3: Cross multiply
    6,096.32x = 9,149.81 × 2,978.63
  4. Step 4: Simplify right side
    6,096.32x = 27,253,837.92
  5. Step 5: Solve for x
    x = 27,253,837.92/6,096.32
  6. Step 6: Final answer
    x = 4,470.54

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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.