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Finding the Fourth Proportional to 15,832.92, 21,853.04 and 9,122.42

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Solution

The fourth proportional to 15,832.92, 21,853.04 and 9,122.42 is: 12,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.92 : 21,853.04 = 9,122.42 : x
  2. Step 2: Convert to fraction form
    15,832.92/21,853.04 = 9,122.42/x
  3. Step 3: Cross multiply
    15,832.92x = 21,853.04 × 9,122.42
  4. Step 4: Simplify right side
    15,832.92x = 199,352,609.16
  5. Step 5: Solve for x
    x = 199,352,609.16/15,832.92
  6. Step 6: Final answer
    x = 12,591.02

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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.