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Finding the Fourth Proportional to 13,082.92, 19,621.20 and 9,169.20

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Solution

The fourth proportional to 13,082.92, 19,621.20 and 9,169.20 is: 13,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.92 : 19,621.20 = 9,169.20 : x
  2. Step 2: Convert to fraction form
    13,082.92/19,621.20 = 9,169.20/x
  3. Step 3: Cross multiply
    13,082.92x = 19,621.20 × 9,169.20
  4. Step 4: Simplify right side
    13,082.92x = 179,910,707.04
  5. Step 5: Solve for x
    x = 179,910,707.04/13,082.92
  6. Step 6: Final answer
    x = 13,751.57

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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.