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Finding the Fourth Proportional to 6,751.73, 10,109.84 and 4,766.66

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Solution

The fourth proportional to 6,751.73, 10,109.84 and 4,766.66 is: 7,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.73 : 10,109.84 = 4,766.66 : x
  2. Step 2: Convert to fraction form
    6,751.73/10,109.84 = 4,766.66/x
  3. Step 3: Cross multiply
    6,751.73x = 10,109.84 × 4,766.66
  4. Step 4: Simplify right side
    6,751.73x = 48,190,119.39
  5. Step 5: Solve for x
    x = 48,190,119.39/6,751.73
  6. Step 6: Final answer
    x = 7,137.45

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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.