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Finding the Fourth Proportional to 6,616, 9,917.31 and 4,152.55

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Solution

The fourth proportional to 6,616, 9,917.31 and 4,152.55 is: 6,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616 : 9,917.31 = 4,152.55 : x
  2. Step 2: Convert to fraction form
    6,616/9,917.31 = 4,152.55/x
  3. Step 3: Cross multiply
    6,616x = 9,917.31 × 4,152.55
  4. Step 4: Simplify right side
    6,616x = 41,182,125.64
  5. Step 5: Solve for x
    x = 41,182,125.64/6,616
  6. Step 6: Final answer
    x = 6,224.63

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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.