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Finding the Fourth Proportional to 9,262.98, 13,872.42 and 7,163.46

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Solution

The fourth proportional to 9,262.98, 13,872.42 and 7,163.46 is: 10,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.98 : 13,872.42 = 7,163.46 : x
  2. Step 2: Convert to fraction form
    9,262.98/13,872.42 = 7,163.46/x
  3. Step 3: Cross multiply
    9,262.98x = 13,872.42 × 7,163.46
  4. Step 4: Simplify right side
    9,262.98x = 99,374,525.77
  5. Step 5: Solve for x
    x = 99,374,525.77/9,262.98
  6. Step 6: Final answer
    x = 10,728.14

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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.