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Finding the Fourth Proportional to 6,164.54, 9,245.94 and 2,004.61

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Solution

The fourth proportional to 6,164.54, 9,245.94 and 2,004.61 is: 3,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.54 : 9,245.94 = 2,004.61 : x
  2. Step 2: Convert to fraction form
    6,164.54/9,245.94 = 2,004.61/x
  3. Step 3: Cross multiply
    6,164.54x = 9,245.94 × 2,004.61
  4. Step 4: Simplify right side
    6,164.54x = 18,534,503.78
  5. Step 5: Solve for x
    x = 18,534,503.78/6,164.54
  6. Step 6: Final answer
    x = 3,006.63

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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.