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Finding the Fourth Proportional to 6,682.32, 10,023.30 and 2,002.32

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Solution

The fourth proportional to 6,682.32, 10,023.30 and 2,002.32 is: 3,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.32 : 10,023.30 = 2,002.32 : x
  2. Step 2: Convert to fraction form
    6,682.32/10,023.30 = 2,002.32/x
  3. Step 3: Cross multiply
    6,682.32x = 10,023.30 × 2,002.32
  4. Step 4: Simplify right side
    6,682.32x = 20,069,854.06
  5. Step 5: Solve for x
    x = 20,069,854.06/6,682.32
  6. Step 6: Final answer
    x = 3,003.43

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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.