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Finding the Fourth Proportional to 20,309.56, 30,469.14 and 6,458.56

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Solution

The fourth proportional to 20,309.56, 30,469.14 and 6,458.56 is: 9,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.56 : 30,469.14 = 6,458.56 : x
  2. Step 2: Convert to fraction form
    20,309.56/30,469.14 = 6,458.56/x
  3. Step 3: Cross multiply
    20,309.56x = 30,469.14 × 6,458.56
  4. Step 4: Simplify right side
    20,309.56x = 196,786,768.84
  5. Step 5: Solve for x
    x = 196,786,768.84/20,309.56
  6. Step 6: Final answer
    x = 9,689.37

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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.