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Finding the Fourth Proportional to 13,717.80, 20,544.30 and 9,311.40

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Solution

The fourth proportional to 13,717.80, 20,544.30 and 9,311.40 is: 13,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.80 : 20,544.30 = 9,311.40 : x
  2. Step 2: Convert to fraction form
    13,717.80/20,544.30 = 9,311.40/x
  3. Step 3: Cross multiply
    13,717.80x = 20,544.30 × 9,311.40
  4. Step 4: Simplify right side
    13,717.80x = 191,296,195.02
  5. Step 5: Solve for x
    x = 191,296,195.02/13,717.80
  6. Step 6: Final answer
    x = 13,945.11

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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.