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Finding the Fourth Proportional to 6,669.09, 10,004.72 and 2,052.09

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Solution

The fourth proportional to 6,669.09, 10,004.72 and 2,052.09 is: 3,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.09 : 10,004.72 = 2,052.09 : x
  2. Step 2: Convert to fraction form
    6,669.09/10,004.72 = 2,052.09/x
  3. Step 3: Cross multiply
    6,669.09x = 10,004.72 × 2,052.09
  4. Step 4: Simplify right side
    6,669.09x = 20,530,575.60
  5. Step 5: Solve for x
    x = 20,530,575.60/6,669.09
  6. Step 6: Final answer
    x = 3,078.47

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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.