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Finding the Fourth Proportional to 6,533.94, 9,800.85 and 2,638.29

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Solution

The fourth proportional to 6,533.94, 9,800.85 and 2,638.29 is: 3,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.94 : 9,800.85 = 2,638.29 : x
  2. Step 2: Convert to fraction form
    6,533.94/9,800.85 = 2,638.29/x
  3. Step 3: Cross multiply
    6,533.94x = 9,800.85 × 2,638.29
  4. Step 4: Simplify right side
    6,533.94x = 25,857,484.55
  5. Step 5: Solve for x
    x = 25,857,484.55/6,533.94
  6. Step 6: Final answer
    x = 3,957.41

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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.