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Finding the Fourth Proportional to 6,533.73, 9,799.38 and 3,410.37

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Solution

The fourth proportional to 6,533.73, 9,799.38 and 3,410.37 is: 5,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.73 : 9,799.38 = 3,410.37 : x
  2. Step 2: Convert to fraction form
    6,533.73/9,799.38 = 3,410.37/x
  3. Step 3: Cross multiply
    6,533.73x = 9,799.38 × 3,410.37
  4. Step 4: Simplify right side
    6,533.73x = 33,419,511.57
  5. Step 5: Solve for x
    x = 33,419,511.57/6,533.73
  6. Step 6: Final answer
    x = 5,114.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.