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Finding the Fourth Proportional to 6,479.98, 9,719.66 and 2,967.96

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Solution

The fourth proportional to 6,479.98, 9,719.66 and 2,967.96 is: 4,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.98 : 9,719.66 = 2,967.96 : x
  2. Step 2: Convert to fraction form
    6,479.98/9,719.66 = 2,967.96/x
  3. Step 3: Cross multiply
    6,479.98x = 9,719.66 × 2,967.96
  4. Step 4: Simplify right side
    6,479.98x = 28,847,562.09
  5. Step 5: Solve for x
    x = 28,847,562.09/6,479.98
  6. Step 6: Final answer
    x = 4,451.80

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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.