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Finding the Fourth Proportional to 6,992.96, 10,474.34 and 3,289.64

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Solution

The fourth proportional to 6,992.96, 10,474.34 and 3,289.64 is: 4,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.96 : 10,474.34 = 3,289.64 : x
  2. Step 2: Convert to fraction form
    6,992.96/10,474.34 = 3,289.64/x
  3. Step 3: Cross multiply
    6,992.96x = 10,474.34 × 3,289.64
  4. Step 4: Simplify right side
    6,992.96x = 34,456,739.02
  5. Step 5: Solve for x
    x = 34,456,739.02/6,992.96
  6. Step 6: Final answer
    x = 4,927.35

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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.