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Finding the Fourth Proportional to 6,647.96, 9,174.13 and 3,663.73

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Solution

The fourth proportional to 6,647.96, 9,174.13 and 3,663.73 is: 5,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.96 : 9,174.13 = 3,663.73 : x
  2. Step 2: Convert to fraction form
    6,647.96/9,174.13 = 3,663.73/x
  3. Step 3: Cross multiply
    6,647.96x = 9,174.13 × 3,663.73
  4. Step 4: Simplify right side
    6,647.96x = 33,611,535.30
  5. Step 5: Solve for x
    x = 33,611,535.30/6,647.96
  6. Step 6: Final answer
    x = 5,055.92

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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.