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Finding the Fourth Proportional to 6,775.74, 10,182.78 and 4,003.83

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Solution

The fourth proportional to 6,775.74, 10,182.78 and 4,003.83 is: 6,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.74 : 10,182.78 = 4,003.83 : x
  2. Step 2: Convert to fraction form
    6,775.74/10,182.78 = 4,003.83/x
  3. Step 3: Cross multiply
    6,775.74x = 10,182.78 × 4,003.83
  4. Step 4: Simplify right side
    6,775.74x = 40,770,120.05
  5. Step 5: Solve for x
    x = 40,770,120.05/6,775.74
  6. Step 6: Final answer
    x = 6,017.07

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1.5x scale

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.