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Finding the Fourth Proportional to 6,632.75, 9,949.19 and 2,015.75

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Solution

The fourth proportional to 6,632.75, 9,949.19 and 2,015.75 is: 3,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.75 : 9,949.19 = 2,015.75 : x
  2. Step 2: Convert to fraction form
    6,632.75/9,949.19 = 2,015.75/x
  3. Step 3: Cross multiply
    6,632.75x = 9,949.19 × 2,015.75
  4. Step 4: Simplify right side
    6,632.75x = 20,055,079.74
  5. Step 5: Solve for x
    x = 20,055,079.74/6,632.75
  6. Step 6: Final answer
    x = 3,023.64

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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.