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Finding the Fourth Proportional to 8,284.74, 12,431.97 and 5,942.22

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Solution

The fourth proportional to 8,284.74, 12,431.97 and 5,942.22 is: 8,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.74 : 12,431.97 = 5,942.22 : x
  2. Step 2: Convert to fraction form
    8,284.74/12,431.97 = 5,942.22/x
  3. Step 3: Cross multiply
    8,284.74x = 12,431.97 × 5,942.22
  4. Step 4: Simplify right side
    8,284.74x = 73,873,500.77
  5. Step 5: Solve for x
    x = 73,873,500.77/8,284.74
  6. Step 6: Final answer
    x = 8,916.82

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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.