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Finding the Fourth Proportional to 8,195.71, 12,293.57 and 2,039.71

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Solution

The fourth proportional to 8,195.71, 12,293.57 and 2,039.71 is: 3,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.71 : 12,293.57 = 2,039.71 : x
  2. Step 2: Convert to fraction form
    8,195.71/12,293.57 = 2,039.71/x
  3. Step 3: Cross multiply
    8,195.71x = 12,293.57 × 2,039.71
  4. Step 4: Simplify right side
    8,195.71x = 25,075,317.66
  5. Step 5: Solve for x
    x = 25,075,317.66/8,195.71
  6. Step 6: Final answer
    x = 3,059.57

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Similar ratio
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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.