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Finding the Fourth Proportional to 13,511.70, 20,231.10 and 9,793.80

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Solution

The fourth proportional to 13,511.70, 20,231.10 and 9,793.80 is: 14,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.70 : 20,231.10 = 9,793.80 : x
  2. Step 2: Convert to fraction form
    13,511.70/20,231.10 = 9,793.80/x
  3. Step 3: Cross multiply
    13,511.70x = 20,231.10 × 9,793.80
  4. Step 4: Simplify right side
    13,511.70x = 198,139,347.18
  5. Step 5: Solve for x
    x = 198,139,347.18/13,511.70
  6. Step 6: Final answer
    x = 14,664.28

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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.