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Finding the Fourth Proportional to 6,571.76, 9,857.64 and 2,675.12

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Solution

The fourth proportional to 6,571.76, 9,857.64 and 2,675.12 is: 4,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.76 : 9,857.64 = 2,675.12 : x
  2. Step 2: Convert to fraction form
    6,571.76/9,857.64 = 2,675.12/x
  3. Step 3: Cross multiply
    6,571.76x = 9,857.64 × 2,675.12
  4. Step 4: Simplify right side
    6,571.76x = 26,370,369.92
  5. Step 5: Solve for x
    x = 26,370,369.92/6,571.76
  6. Step 6: Final answer
    x = 4,012.68

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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.