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Finding the Fourth Proportional to 12,200.96, 16,834.64 and 7,951.64

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Solution

The fourth proportional to 12,200.96, 16,834.64 and 7,951.64 is: 10,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.96 : 16,834.64 = 7,951.64 : x
  2. Step 2: Convert to fraction form
    12,200.96/16,834.64 = 7,951.64/x
  3. Step 3: Cross multiply
    12,200.96x = 16,834.64 × 7,951.64
  4. Step 4: Simplify right side
    12,200.96x = 133,862,872.88
  5. Step 5: Solve for x
    x = 133,862,872.88/12,200.96
  6. Step 6: Final answer
    x = 10,971.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.