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Finding the Fourth Proportional to 6,682.40, 10,023.36 and 2,065.40

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Solution

The fourth proportional to 6,682.40, 10,023.36 and 2,065.40 is: 3,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.40 : 10,023.36 = 2,065.40 : x
  2. Step 2: Convert to fraction form
    6,682.40/10,023.36 = 2,065.40/x
  3. Step 3: Cross multiply
    6,682.40x = 10,023.36 × 2,065.40
  4. Step 4: Simplify right side
    6,682.40x = 20,702,247.74
  5. Step 5: Solve for x
    x = 20,702,247.74/6,682.40
  6. Step 6: Final answer
    x = 3,098.03

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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.