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Finding the Fourth Proportional to 6,682.59, 10,023.89 and 2,003.09

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Solution

The fourth proportional to 6,682.59, 10,023.89 and 2,003.09 is: 3,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.59 : 10,023.89 = 2,003.09 : x
  2. Step 2: Convert to fraction form
    6,682.59/10,023.89 = 2,003.09/x
  3. Step 3: Cross multiply
    6,682.59x = 10,023.89 × 2,003.09
  4. Step 4: Simplify right side
    6,682.59x = 20,078,768.86
  5. Step 5: Solve for x
    x = 20,078,768.86/6,682.59
  6. Step 6: Final answer
    x = 3,004.64

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1.5x scale

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.