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Finding the Fourth Proportional to 10,082.56, 13,924.56 and 8,983.12

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Solution

The fourth proportional to 10,082.56, 13,924.56 and 8,983.12 is: 12,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.56 : 13,924.56 = 8,983.12 : x
  2. Step 2: Convert to fraction form
    10,082.56/13,924.56 = 8,983.12/x
  3. Step 3: Cross multiply
    10,082.56x = 13,924.56 × 8,983.12
  4. Step 4: Simplify right side
    10,082.56x = 125,085,993.43
  5. Step 5: Solve for x
    x = 125,085,993.43/10,082.56
  6. Step 6: Final answer
    x = 12,406.17

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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.