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Finding the Fourth Proportional to 8,226.97, 12,343.52 and 4,942.42

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Solution

The fourth proportional to 8,226.97, 12,343.52 and 4,942.42 is: 7,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.97 : 12,343.52 = 4,942.42 : x
  2. Step 2: Convert to fraction form
    8,226.97/12,343.52 = 4,942.42/x
  3. Step 3: Cross multiply
    8,226.97x = 12,343.52 × 4,942.42
  4. Step 4: Simplify right side
    8,226.97x = 61,006,841.62
  5. Step 5: Solve for x
    x = 61,006,841.62/8,226.97
  6. Step 6: Final answer
    x = 7,415.47

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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.