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Finding the Fourth Proportional to 6,898.73, 10,348.48 and 1,967.97

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Solution

The fourth proportional to 6,898.73, 10,348.48 and 1,967.97 is: 2,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.73 : 10,348.48 = 1,967.97 : x
  2. Step 2: Convert to fraction form
    6,898.73/10,348.48 = 1,967.97/x
  3. Step 3: Cross multiply
    6,898.73x = 10,348.48 × 1,967.97
  4. Step 4: Simplify right side
    6,898.73x = 20,365,532.07
  5. Step 5: Solve for x
    x = 20,365,532.07/6,898.73
  6. Step 6: Final answer
    x = 2,952.07

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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.