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Finding the Fourth Proportional to 12,137.85, 18,206.78 and 6,940.08

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Solution

The fourth proportional to 12,137.85, 18,206.78 and 6,940.08 is: 10,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.85 : 18,206.78 = 6,940.08 : x
  2. Step 2: Convert to fraction form
    12,137.85/18,206.78 = 6,940.08/x
  3. Step 3: Cross multiply
    12,137.85x = 18,206.78 × 6,940.08
  4. Step 4: Simplify right side
    12,137.85x = 126,356,475.04
  5. Step 5: Solve for x
    x = 126,356,475.04/12,137.85
  6. Step 6: Final answer
    x = 10,410.12

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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.