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Finding the Fourth Proportional to 6,730.80, 10,092.60 and 2,830.80

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Solution

The fourth proportional to 6,730.80, 10,092.60 and 2,830.80 is: 4,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.80 : 10,092.60 = 2,830.80 : x
  2. Step 2: Convert to fraction form
    6,730.80/10,092.60 = 2,830.80/x
  3. Step 3: Cross multiply
    6,730.80x = 10,092.60 × 2,830.80
  4. Step 4: Simplify right side
    6,730.80x = 28,570,132.08
  5. Step 5: Solve for x
    x = 28,570,132.08/6,730.80
  6. Step 6: Final answer
    x = 4,244.69

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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.