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Finding the Fourth Proportional to 6,898, 10,347.95 and 3,201.25

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Solution

The fourth proportional to 6,898, 10,347.95 and 3,201.25 is: 4,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898 : 10,347.95 = 3,201.25 : x
  2. Step 2: Convert to fraction form
    6,898/10,347.95 = 3,201.25/x
  3. Step 3: Cross multiply
    6,898x = 10,347.95 × 3,201.25
  4. Step 4: Simplify right side
    6,898x = 33,126,374.94
  5. Step 5: Solve for x
    x = 33,126,374.94/6,898
  6. Step 6: Final answer
    x = 4,802.32

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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.