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Finding the Fourth Proportional to 13,797.96, 20,697.98 and 9,458.44

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Solution

The fourth proportional to 13,797.96, 20,697.98 and 9,458.44 is: 14,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.96 : 20,697.98 = 9,458.44 : x
  2. Step 2: Convert to fraction form
    13,797.96/20,697.98 = 9,458.44/x
  3. Step 3: Cross multiply
    13,797.96x = 20,697.98 × 9,458.44
  4. Step 4: Simplify right side
    13,797.96x = 195,770,601.95
  5. Step 5: Solve for x
    x = 195,770,601.95/13,797.96
  6. Step 6: Final answer
    x = 14,188.37

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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.