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Finding the Fourth Proportional to 5,943.71, 8,912.24 and 4,071.72

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Solution

The fourth proportional to 5,943.71, 8,912.24 and 4,071.72 is: 6,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.71 : 8,912.24 = 4,071.72 : x
  2. Step 2: Convert to fraction form
    5,943.71/8,912.24 = 4,071.72/x
  3. Step 3: Cross multiply
    5,943.71x = 8,912.24 × 4,071.72
  4. Step 4: Simplify right side
    5,943.71x = 36,288,103.21
  5. Step 5: Solve for x
    x = 36,288,103.21/5,943.71
  6. Step 6: Final answer
    x = 6,105.29

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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.