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Finding the Fourth Proportional to 6,449.50, 9,673.74 and 2,065.78

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Solution

The fourth proportional to 6,449.50, 9,673.74 and 2,065.78 is: 3,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.50 : 9,673.74 = 2,065.78 : x
  2. Step 2: Convert to fraction form
    6,449.50/9,673.74 = 2,065.78/x
  3. Step 3: Cross multiply
    6,449.50x = 9,673.74 × 2,065.78
  4. Step 4: Simplify right side
    6,449.50x = 19,983,818.62
  5. Step 5: Solve for x
    x = 19,983,818.62/6,449.50
  6. Step 6: Final answer
    x = 3,098.51

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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.