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Finding the Fourth Proportional to 6,410.73, 8,849.16 and 3,760.36

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Solution

The fourth proportional to 6,410.73, 8,849.16 and 3,760.36 is: 5,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.73 : 8,849.16 = 3,760.36 : x
  2. Step 2: Convert to fraction form
    6,410.73/8,849.16 = 3,760.36/x
  3. Step 3: Cross multiply
    6,410.73x = 8,849.16 × 3,760.36
  4. Step 4: Simplify right side
    6,410.73x = 33,276,027.30
  5. Step 5: Solve for x
    x = 33,276,027.30/6,410.73
  6. Step 6: Final answer
    x = 5,190.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.