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Finding the Fourth Proportional to 13,744.14, 20,609.28 and 9,793.14

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Solution

The fourth proportional to 13,744.14, 20,609.28 and 9,793.14 is: 14,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.14 : 20,609.28 = 9,793.14 : x
  2. Step 2: Convert to fraction form
    13,744.14/20,609.28 = 9,793.14/x
  3. Step 3: Cross multiply
    13,744.14x = 20,609.28 × 9,793.14
  4. Step 4: Simplify right side
    13,744.14x = 201,829,564.34
  5. Step 5: Solve for x
    x = 201,829,564.34/13,744.14
  6. Step 6: Final answer
    x = 14,684.77

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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.