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Finding the Fourth Proportional to 6,846.87, 9,448.73 and 4,013.61

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Solution

The fourth proportional to 6,846.87, 9,448.73 and 4,013.61 is: 5,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.87 : 9,448.73 = 4,013.61 : x
  2. Step 2: Convert to fraction form
    6,846.87/9,448.73 = 4,013.61/x
  3. Step 3: Cross multiply
    6,846.87x = 9,448.73 × 4,013.61
  4. Step 4: Simplify right side
    6,846.87x = 37,923,497.15
  5. Step 5: Solve for x
    x = 37,923,497.15/6,846.87
  6. Step 6: Final answer
    x = 5,538.81

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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.