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Finding the Fourth Proportional to 12,693.40, 18,996.90 and 11,138.20

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Solution

The fourth proportional to 12,693.40, 18,996.90 and 11,138.20 is: 16,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.40 : 18,996.90 = 11,138.20 : x
  2. Step 2: Convert to fraction form
    12,693.40/18,996.90 = 11,138.20/x
  3. Step 3: Cross multiply
    12,693.40x = 18,996.90 × 11,138.20
  4. Step 4: Simplify right side
    12,693.40x = 211,591,271.58
  5. Step 5: Solve for x
    x = 211,591,271.58/12,693.40
  6. Step 6: Final answer
    x = 16,669.39

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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.