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Finding the Fourth Proportional to 7,163.98, 10,741.92 and 2,232.16

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Solution

The fourth proportional to 7,163.98, 10,741.92 and 2,232.16 is: 3,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.98 : 10,741.92 = 2,232.16 : x
  2. Step 2: Convert to fraction form
    7,163.98/10,741.92 = 2,232.16/x
  3. Step 3: Cross multiply
    7,163.98x = 10,741.92 × 2,232.16
  4. Step 4: Simplify right side
    7,163.98x = 23,977,684.15
  5. Step 5: Solve for x
    x = 23,977,684.15/7,163.98
  6. Step 6: Final answer
    x = 3,346.98

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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.