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Finding the Fourth Proportional to 6,651.24, 9,970.68 and 2,265.66

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Solution

The fourth proportional to 6,651.24, 9,970.68 and 2,265.66 is: 3,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.24 : 9,970.68 = 2,265.66 : x
  2. Step 2: Convert to fraction form
    6,651.24/9,970.68 = 2,265.66/x
  3. Step 3: Cross multiply
    6,651.24x = 9,970.68 × 2,265.66
  4. Step 4: Simplify right side
    6,651.24x = 22,590,170.85
  5. Step 5: Solve for x
    x = 22,590,170.85/6,651.24
  6. Step 6: Final answer
    x = 3,396.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.