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Finding the Fourth Proportional to 6,832.71, 10,253.39 and 3,916.71

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Solution

The fourth proportional to 6,832.71, 10,253.39 and 3,916.71 is: 5,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.71 : 10,253.39 = 3,916.71 : x
  2. Step 2: Convert to fraction form
    6,832.71/10,253.39 = 3,916.71/x
  3. Step 3: Cross multiply
    6,832.71x = 10,253.39 × 3,916.71
  4. Step 4: Simplify right side
    6,832.71x = 40,159,535.56
  5. Step 5: Solve for x
    x = 40,159,535.56/6,832.71
  6. Step 6: Final answer
    x = 5,877.54

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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.