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Finding the Fourth Proportional to 6,896.97, 10,345.46 and 2,280.33

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Solution

The fourth proportional to 6,896.97, 10,345.46 and 2,280.33 is: 3,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.97 : 10,345.46 = 2,280.33 : x
  2. Step 2: Convert to fraction form
    6,896.97/10,345.46 = 2,280.33/x
  3. Step 3: Cross multiply
    6,896.97x = 10,345.46 × 2,280.33
  4. Step 4: Simplify right side
    6,896.97x = 23,591,051.40
  5. Step 5: Solve for x
    x = 23,591,051.40/6,896.97
  6. Step 6: Final answer
    x = 3,420.50

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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.