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Finding the Fourth Proportional to 7,867.11, 11,803.91 and 5,797.56

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Solution

The fourth proportional to 7,867.11, 11,803.91 and 5,797.56 is: 8,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.11 : 11,803.91 = 5,797.56 : x
  2. Step 2: Convert to fraction form
    7,867.11/11,803.91 = 5,797.56/x
  3. Step 3: Cross multiply
    7,867.11x = 11,803.91 × 5,797.56
  4. Step 4: Simplify right side
    7,867.11x = 68,433,876.46
  5. Step 5: Solve for x
    x = 68,433,876.46/7,867.11
  6. Step 6: Final answer
    x = 8,698.73

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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.