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Finding the Fourth Proportional to 20,174.86, 30,267.15 and 6,323.86

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Solution

The fourth proportional to 20,174.86, 30,267.15 and 6,323.86 is: 9,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.86 : 30,267.15 = 6,323.86 : x
  2. Step 2: Convert to fraction form
    20,174.86/30,267.15 = 6,323.86/x
  3. Step 3: Cross multiply
    20,174.86x = 30,267.15 × 6,323.86
  4. Step 4: Simplify right side
    20,174.86x = 191,405,257.03
  5. Step 5: Solve for x
    x = 191,405,257.03/20,174.86
  6. Step 6: Final answer
    x = 9,487.31

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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.