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Finding the Fourth Proportional to 6,846.44, 10,270.93 and 2,167.63

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Solution

The fourth proportional to 6,846.44, 10,270.93 and 2,167.63 is: 3,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.44 : 10,270.93 = 2,167.63 : x
  2. Step 2: Convert to fraction form
    6,846.44/10,270.93 = 2,167.63/x
  3. Step 3: Cross multiply
    6,846.44x = 10,270.93 × 2,167.63
  4. Step 4: Simplify right side
    6,846.44x = 22,263,576.00
  5. Step 5: Solve for x
    x = 22,263,576.00/6,846.44
  6. Step 6: Final answer
    x = 3,251.85

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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.