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Finding the Fourth Proportional to 6,977.44, 10,468.14 and 2,046.97

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Solution

The fourth proportional to 6,977.44, 10,468.14 and 2,046.97 is: 3,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.44 : 10,468.14 = 2,046.97 : x
  2. Step 2: Convert to fraction form
    6,977.44/10,468.14 = 2,046.97/x
  3. Step 3: Cross multiply
    6,977.44x = 10,468.14 × 2,046.97
  4. Step 4: Simplify right side
    6,977.44x = 21,427,973.94
  5. Step 5: Solve for x
    x = 21,427,973.94/6,977.44
  6. Step 6: Final answer
    x = 3,071.04

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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.