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Finding the Fourth Proportional to 14,552.25, 20,082.11 and 7,928.25

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Solution

The fourth proportional to 14,552.25, 20,082.11 and 7,928.25 is: 10,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.25 : 20,082.11 = 7,928.25 : x
  2. Step 2: Convert to fraction form
    14,552.25/20,082.11 = 7,928.25/x
  3. Step 3: Cross multiply
    14,552.25x = 20,082.11 × 7,928.25
  4. Step 4: Simplify right side
    14,552.25x = 159,215,948.97
  5. Step 5: Solve for x
    x = 159,215,948.97/14,552.25
  6. Step 6: Final answer
    x = 10,940.99

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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.