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Finding the Fourth Proportional to 7,660.44, 11,479.86 and 6,093.50

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Solution

The fourth proportional to 7,660.44, 11,479.86 and 6,093.50 is: 9,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.44 : 11,479.86 = 6,093.50 : x
  2. Step 2: Convert to fraction form
    7,660.44/11,479.86 = 6,093.50/x
  3. Step 3: Cross multiply
    7,660.44x = 11,479.86 × 6,093.50
  4. Step 4: Simplify right side
    7,660.44x = 69,952,469.51
  5. Step 5: Solve for x
    x = 69,952,469.51/7,660.44
  6. Step 6: Final answer
    x = 9,131.65

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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.