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Finding the Fourth Proportional to 20,596.86, 30,876.96 and 7,446.30

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Solution

The fourth proportional to 20,596.86, 30,876.96 and 7,446.30 is: 11,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.86 : 30,876.96 = 7,446.30 : x
  2. Step 2: Convert to fraction form
    20,596.86/30,876.96 = 7,446.30/x
  3. Step 3: Cross multiply
    20,596.86x = 30,876.96 × 7,446.30
  4. Step 4: Simplify right side
    20,596.86x = 229,919,107.25
  5. Step 5: Solve for x
    x = 229,919,107.25/20,596.86
  6. Step 6: Final answer
    x = 11,162.82

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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.