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Finding the Fourth Proportional to 6,994.28, 9,651.74 and 3,849.86

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Solution

The fourth proportional to 6,994.28, 9,651.74 and 3,849.86 is: 5,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.28 : 9,651.74 = 3,849.86 : x
  2. Step 2: Convert to fraction form
    6,994.28/9,651.74 = 3,849.86/x
  3. Step 3: Cross multiply
    6,994.28x = 9,651.74 × 3,849.86
  4. Step 4: Simplify right side
    6,994.28x = 37,157,847.76
  5. Step 5: Solve for x
    x = 37,157,847.76/6,994.28
  6. Step 6: Final answer
    x = 5,312.61

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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.