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Finding the Fourth Proportional to 8,195.81, 12,293.70 and 2,039.81

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Solution

The fourth proportional to 8,195.81, 12,293.70 and 2,039.81 is: 3,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.81 : 12,293.70 = 2,039.81 : x
  2. Step 2: Convert to fraction form
    8,195.81/12,293.70 = 2,039.81/x
  3. Step 3: Cross multiply
    8,195.81x = 12,293.70 × 2,039.81
  4. Step 4: Simplify right side
    8,195.81x = 25,076,812.20
  5. Step 5: Solve for x
    x = 25,076,812.20/8,195.81
  6. Step 6: Final answer
    x = 3,059.71

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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.