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Finding the Fourth Proportional to 10,794.60, 16,206.30 and 6,906.60

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Solution

The fourth proportional to 10,794.60, 16,206.30 and 6,906.60 is: 10,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.60 : 16,206.30 = 6,906.60 : x
  2. Step 2: Convert to fraction form
    10,794.60/16,206.30 = 6,906.60/x
  3. Step 3: Cross multiply
    10,794.60x = 16,206.30 × 6,906.60
  4. Step 4: Simplify right side
    10,794.60x = 111,930,431.58
  5. Step 5: Solve for x
    x = 111,930,431.58/10,794.60
  6. Step 6: Final answer
    x = 10,369.11

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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.