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Finding the Fourth Proportional to 6,782.73, 10,174.73 and 2,102.78

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Solution

The fourth proportional to 6,782.73, 10,174.73 and 2,102.78 is: 3,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.73 : 10,174.73 = 2,102.78 : x
  2. Step 2: Convert to fraction form
    6,782.73/10,174.73 = 2,102.78/x
  3. Step 3: Cross multiply
    6,782.73x = 10,174.73 × 2,102.78
  4. Step 4: Simplify right side
    6,782.73x = 21,395,157.36
  5. Step 5: Solve for x
    x = 21,395,157.36/6,782.73
  6. Step 6: Final answer
    x = 3,154.36

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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.