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Finding the Fourth Proportional to 7,911.94, 11,867.14 and 3,232.12

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Solution

The fourth proportional to 7,911.94, 11,867.14 and 3,232.12 is: 4,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.94 : 11,867.14 = 3,232.12 : x
  2. Step 2: Convert to fraction form
    7,911.94/11,867.14 = 3,232.12/x
  3. Step 3: Cross multiply
    7,911.94x = 11,867.14 × 3,232.12
  4. Step 4: Simplify right side
    7,911.94x = 38,356,020.54
  5. Step 5: Solve for x
    x = 38,356,020.54/7,911.94
  6. Step 6: Final answer
    x = 4,847.87

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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.