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Finding the Fourth Proportional to 6,533.16, 9,796 and 2,149.44

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Solution

The fourth proportional to 6,533.16, 9,796 and 2,149.44 is: 3,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.16 : 9,796 = 2,149.44 : x
  2. Step 2: Convert to fraction form
    6,533.16/9,796 = 2,149.44/x
  3. Step 3: Cross multiply
    6,533.16x = 9,796 × 2,149.44
  4. Step 4: Simplify right side
    6,533.16x = 21,055,914.24
  5. Step 5: Solve for x
    x = 21,055,914.24/6,533.16
  6. Step 6: Final answer
    x = 3,222.93

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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.