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Finding the Fourth Proportional to 6,832, 10,197.50 and 6,666.22

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Solution

The fourth proportional to 6,832, 10,197.50 and 6,666.22 is: 9,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832 : 10,197.50 = 6,666.22 : x
  2. Step 2: Convert to fraction form
    6,832/10,197.50 = 6,666.22/x
  3. Step 3: Cross multiply
    6,832x = 10,197.50 × 6,666.22
  4. Step 4: Simplify right side
    6,832x = 67,978,778.45
  5. Step 5: Solve for x
    x = 67,978,778.45/6,832
  6. Step 6: Final answer
    x = 9,950.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.