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Finding the Fourth Proportional to 13,793.98, 20,683.83 and 6,770.86

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Solution

The fourth proportional to 13,793.98, 20,683.83 and 6,770.86 is: 10,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.98 : 20,683.83 = 6,770.86 : x
  2. Step 2: Convert to fraction form
    13,793.98/20,683.83 = 6,770.86/x
  3. Step 3: Cross multiply
    13,793.98x = 20,683.83 × 6,770.86
  4. Step 4: Simplify right side
    13,793.98x = 140,047,317.19
  5. Step 5: Solve for x
    x = 140,047,317.19/13,793.98
  6. Step 6: Final answer
    x = 10,152.79

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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.