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Finding the Fourth Proportional to 8,216.33, 12,324.69 and 2,951.69

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Solution

The fourth proportional to 8,216.33, 12,324.69 and 2,951.69 is: 4,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.33 : 12,324.69 = 2,951.69 : x
  2. Step 2: Convert to fraction form
    8,216.33/12,324.69 = 2,951.69/x
  3. Step 3: Cross multiply
    8,216.33x = 12,324.69 × 2,951.69
  4. Step 4: Simplify right side
    8,216.33x = 36,378,602.60
  5. Step 5: Solve for x
    x = 36,378,602.60/8,216.33
  6. Step 6: Final answer
    x = 4,427.60

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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.