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Finding the Fourth Proportional to 6,165.05, 9,245.13 and 2,004.05

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Solution

The fourth proportional to 6,165.05, 9,245.13 and 2,004.05 is: 3,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.05 : 9,245.13 = 2,004.05 : x
  2. Step 2: Convert to fraction form
    6,165.05/9,245.13 = 2,004.05/x
  3. Step 3: Cross multiply
    6,165.05x = 9,245.13 × 2,004.05
  4. Step 4: Simplify right side
    6,165.05x = 18,527,656.55
  5. Step 5: Solve for x
    x = 18,527,656.55/6,165.05
  6. Step 6: Final answer
    x = 3,005.28

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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.