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Finding the Fourth Proportional to 11,944.62, 16,475.94 and 7,701.12

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Solution

The fourth proportional to 11,944.62, 16,475.94 and 7,701.12 is: 10,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.62 : 16,475.94 = 7,701.12 : x
  2. Step 2: Convert to fraction form
    11,944.62/16,475.94 = 7,701.12/x
  3. Step 3: Cross multiply
    11,944.62x = 16,475.94 × 7,701.12
  4. Step 4: Simplify right side
    11,944.62x = 126,883,191.05
  5. Step 5: Solve for x
    x = 126,883,191.05/11,944.62
  6. Step 6: Final answer
    x = 10,622.62

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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.