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Finding the Fourth Proportional to 6,993.28, 9,650.36 and 3,848.86

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Solution

The fourth proportional to 6,993.28, 9,650.36 and 3,848.86 is: 5,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.28 : 9,650.36 = 3,848.86 : x
  2. Step 2: Convert to fraction form
    6,993.28/9,650.36 = 3,848.86/x
  3. Step 3: Cross multiply
    6,993.28x = 9,650.36 × 3,848.86
  4. Step 4: Simplify right side
    6,993.28x = 37,142,884.59
  5. Step 5: Solve for x
    x = 37,142,884.59/6,993.28
  6. Step 6: Final answer
    x = 5,311.23

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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.