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Finding the Fourth Proportional to 8,222.70, 12,332.70 and 3,541.44

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Solution

The fourth proportional to 8,222.70, 12,332.70 and 3,541.44 is: 5,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.70 : 12,332.70 = 3,541.44 : x
  2. Step 2: Convert to fraction form
    8,222.70/12,332.70 = 3,541.44/x
  3. Step 3: Cross multiply
    8,222.70x = 12,332.70 × 3,541.44
  4. Step 4: Simplify right side
    8,222.70x = 43,675,517.09
  5. Step 5: Solve for x
    x = 43,675,517.09/8,222.70
  6. Step 6: Final answer
    x = 5,311.58

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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.