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Finding the Fourth Proportional to 8,163.82, 11,266.02 and 4,437.82

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Solution

The fourth proportional to 8,163.82, 11,266.02 and 4,437.82 is: 6,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.82 : 11,266.02 = 4,437.82 : x
  2. Step 2: Convert to fraction form
    8,163.82/11,266.02 = 4,437.82/x
  3. Step 3: Cross multiply
    8,163.82x = 11,266.02 × 4,437.82
  4. Step 4: Simplify right side
    8,163.82x = 49,996,568.88
  5. Step 5: Solve for x
    x = 49,996,568.88/8,163.82
  6. Step 6: Final answer
    x = 6,124.16

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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.