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Finding the Fourth Proportional to 6,479.93, 9,720.77 and 2,097.96

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Solution

The fourth proportional to 6,479.93, 9,720.77 and 2,097.96 is: 3,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.93 : 9,720.77 = 2,097.96 : x
  2. Step 2: Convert to fraction form
    6,479.93/9,720.77 = 2,097.96/x
  3. Step 3: Cross multiply
    6,479.93x = 9,720.77 × 2,097.96
  4. Step 4: Simplify right side
    6,479.93x = 20,393,776.14
  5. Step 5: Solve for x
    x = 20,393,776.14/6,479.93
  6. Step 6: Final answer
    x = 3,147.22

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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.