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Finding the Fourth Proportional to 14,197.92, 19,593 and 8,231.52

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Solution

The fourth proportional to 14,197.92, 19,593 and 8,231.52 is: 11,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.92 : 19,593 = 8,231.52 : x
  2. Step 2: Convert to fraction form
    14,197.92/19,593 = 8,231.52/x
  3. Step 3: Cross multiply
    14,197.92x = 19,593 × 8,231.52
  4. Step 4: Simplify right side
    14,197.92x = 161,280,171.36
  5. Step 5: Solve for x
    x = 161,280,171.36/14,197.92
  6. Step 6: Final answer
    x = 11,359.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.