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Finding the Fourth Proportional to 7,724.82, 10,661.22 and 4,367.82

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Solution

The fourth proportional to 7,724.82, 10,661.22 and 4,367.82 is: 6,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.82 : 10,661.22 = 4,367.82 : x
  2. Step 2: Convert to fraction form
    7,724.82/10,661.22 = 4,367.82/x
  3. Step 3: Cross multiply
    7,724.82x = 10,661.22 × 4,367.82
  4. Step 4: Simplify right side
    7,724.82x = 46,566,289.94
  5. Step 5: Solve for x
    x = 46,566,289.94/7,724.82
  6. Step 6: Final answer
    x = 6,028.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.