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Finding the Fourth Proportional to 13,832.71, 20,752.13 and 3,971.23

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Solution

The fourth proportional to 13,832.71, 20,752.13 and 3,971.23 is: 5,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.71 : 20,752.13 = 3,971.23 : x
  2. Step 2: Convert to fraction form
    13,832.71/20,752.13 = 3,971.23/x
  3. Step 3: Cross multiply
    13,832.71x = 20,752.13 × 3,971.23
  4. Step 4: Simplify right side
    13,832.71x = 82,411,439.27
  5. Step 5: Solve for x
    x = 82,411,439.27/13,832.71
  6. Step 6: Final answer
    x = 5,957.72

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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.