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Finding the Fourth Proportional to 8,188.73, 12,283.10 and 2,032.73

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Solution

The fourth proportional to 8,188.73, 12,283.10 and 2,032.73 is: 3,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.73 : 12,283.10 = 2,032.73 : x
  2. Step 2: Convert to fraction form
    8,188.73/12,283.10 = 2,032.73/x
  3. Step 3: Cross multiply
    8,188.73x = 12,283.10 × 2,032.73
  4. Step 4: Simplify right side
    8,188.73x = 24,968,288.49
  5. Step 5: Solve for x
    x = 24,968,288.49/8,188.73
  6. Step 6: Final answer
    x = 3,049.10

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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.