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Finding the Fourth Proportional to 6,968.81, 9,617.00 and 3,825

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Solution

The fourth proportional to 6,968.81, 9,617.00 and 3,825 is: 5,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.81 : 9,617.00 = 3,825 : x
  2. Step 2: Convert to fraction form
    6,968.81/9,617.00 = 3,825/x
  3. Step 3: Cross multiply
    6,968.81x = 9,617.00 × 3,825
  4. Step 4: Simplify right side
    6,968.81x = 36,785,005.88
  5. Step 5: Solve for x
    x = 36,785,005.88/6,968.81
  6. Step 6: Final answer
    x = 5,278.52

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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.