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Finding the Fourth Proportional to 6,548.99, 9,825.17 and 2,850.26

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Solution

The fourth proportional to 6,548.99, 9,825.17 and 2,850.26 is: 4,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.99 : 9,825.17 = 2,850.26 : x
  2. Step 2: Convert to fraction form
    6,548.99/9,825.17 = 2,850.26/x
  3. Step 3: Cross multiply
    6,548.99x = 9,825.17 × 2,850.26
  4. Step 4: Simplify right side
    6,548.99x = 28,004,225.67
  5. Step 5: Solve for x
    x = 28,004,225.67/6,548.99
  6. Step 6: Final answer
    x = 4,276.12

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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.