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Finding the Fourth Proportional to 9,163.80, 13,745.70 and 7,738.20

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Solution

The fourth proportional to 9,163.80, 13,745.70 and 7,738.20 is: 11,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.80 : 13,745.70 = 7,738.20 : x
  2. Step 2: Convert to fraction form
    9,163.80/13,745.70 = 7,738.20/x
  3. Step 3: Cross multiply
    9,163.80x = 13,745.70 × 7,738.20
  4. Step 4: Simplify right side
    9,163.80x = 106,366,975.74
  5. Step 5: Solve for x
    x = 106,366,975.74/9,163.80
  6. Step 6: Final answer
    x = 11,607.30

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Similar ratio
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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.