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Finding the Fourth Proportional to 13,788.96, 20,684.48 and 9,449.44

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Solution

The fourth proportional to 13,788.96, 20,684.48 and 9,449.44 is: 14,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.96 : 20,684.48 = 9,449.44 : x
  2. Step 2: Convert to fraction form
    13,788.96/20,684.48 = 9,449.44/x
  3. Step 3: Cross multiply
    13,788.96x = 20,684.48 × 9,449.44
  4. Step 4: Simplify right side
    13,788.96x = 195,456,752.69
  5. Step 5: Solve for x
    x = 195,456,752.69/13,788.96
  6. Step 6: Final answer
    x = 14,174.87

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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.