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Finding the Fourth Proportional to 8,113.71, 12,170.54 and 1,957.71

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Solution

The fourth proportional to 8,113.71, 12,170.54 and 1,957.71 is: 2,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.71 : 12,170.54 = 1,957.71 : x
  2. Step 2: Convert to fraction form
    8,113.71/12,170.54 = 1,957.71/x
  3. Step 3: Cross multiply
    8,113.71x = 12,170.54 × 1,957.71
  4. Step 4: Simplify right side
    8,113.71x = 23,826,378.07
  5. Step 5: Solve for x
    x = 23,826,378.07/8,113.71
  6. Step 6: Final answer
    x = 2,936.56

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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.