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Finding the Fourth Proportional to 6,777.74, 10,169.71 and 4,009.84

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Solution

The fourth proportional to 6,777.74, 10,169.71 and 4,009.84 is: 6,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.74 : 10,169.71 = 4,009.84 : x
  2. Step 2: Convert to fraction form
    6,777.74/10,169.71 = 4,009.84/x
  3. Step 3: Cross multiply
    6,777.74x = 10,169.71 × 4,009.84
  4. Step 4: Simplify right side
    6,777.74x = 40,778,874.50
  5. Step 5: Solve for x
    x = 40,778,874.50/6,777.74
  6. Step 6: Final answer
    x = 6,016.59

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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.