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Finding the Fourth Proportional to 9,168.57, 13,759.76 and 6,709.73

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Solution

The fourth proportional to 9,168.57, 13,759.76 and 6,709.73 is: 10,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.57 : 13,759.76 = 6,709.73 : x
  2. Step 2: Convert to fraction form
    9,168.57/13,759.76 = 6,709.73/x
  3. Step 3: Cross multiply
    9,168.57x = 13,759.76 × 6,709.73
  4. Step 4: Simplify right side
    9,168.57x = 92,324,172.12
  5. Step 5: Solve for x
    x = 92,324,172.12/9,168.57
  6. Step 6: Final answer
    x = 10,069.64

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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.