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Finding the Fourth Proportional to 6,451.98, 9,678.54 and 2,068.56

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Solution

The fourth proportional to 6,451.98, 9,678.54 and 2,068.56 is: 3,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.98 : 9,678.54 = 2,068.56 : x
  2. Step 2: Convert to fraction form
    6,451.98/9,678.54 = 2,068.56/x
  3. Step 3: Cross multiply
    6,451.98x = 9,678.54 × 2,068.56
  4. Step 4: Simplify right side
    6,451.98x = 20,020,640.70
  5. Step 5: Solve for x
    x = 20,020,640.70/6,451.98
  6. Step 6: Final answer
    x = 3,103.02

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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.