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Finding the Fourth Proportional to 6,898.82, 10,348.61 and 1,968.08

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Solution

The fourth proportional to 6,898.82, 10,348.61 and 1,968.08 is: 2,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.82 : 10,348.61 = 1,968.08 : x
  2. Step 2: Convert to fraction form
    6,898.82/10,348.61 = 1,968.08/x
  3. Step 3: Cross multiply
    6,898.82x = 10,348.61 × 1,968.08
  4. Step 4: Simplify right side
    6,898.82x = 20,366,830.79
  5. Step 5: Solve for x
    x = 20,366,830.79/6,898.82
  6. Step 6: Final answer
    x = 2,952.22

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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.