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Finding the Fourth Proportional to 8,231.73, 12,347.02 and 2,684.95

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Solution

The fourth proportional to 8,231.73, 12,347.02 and 2,684.95 is: 4,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.73 : 12,347.02 = 2,684.95 : x
  2. Step 2: Convert to fraction form
    8,231.73/12,347.02 = 2,684.95/x
  3. Step 3: Cross multiply
    8,231.73x = 12,347.02 × 2,684.95
  4. Step 4: Simplify right side
    8,231.73x = 33,151,056.19
  5. Step 5: Solve for x
    x = 33,151,056.19/8,231.73
  6. Step 6: Final answer
    x = 4,027.23

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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.