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Finding the Fourth Proportional to 6,548.10, 9,794.62 and 5,520.12

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Solution

The fourth proportional to 6,548.10, 9,794.62 and 5,520.12 is: 8,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.10 : 9,794.62 = 5,520.12 : x
  2. Step 2: Convert to fraction form
    6,548.10/9,794.62 = 5,520.12/x
  3. Step 3: Cross multiply
    6,548.10x = 9,794.62 × 5,520.12
  4. Step 4: Simplify right side
    6,548.10x = 54,067,477.75
  5. Step 5: Solve for x
    x = 54,067,477.75/6,548.10
  6. Step 6: Final answer
    x = 8,256.98

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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.