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Finding the Fourth Proportional to 11,754.30, 16,223.74 and 7,983.74

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Solution

The fourth proportional to 11,754.30, 16,223.74 and 7,983.74 is: 11,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.30 : 16,223.74 = 7,983.74 : x
  2. Step 2: Convert to fraction form
    11,754.30/16,223.74 = 7,983.74/x
  3. Step 3: Cross multiply
    11,754.30x = 16,223.74 × 7,983.74
  4. Step 4: Simplify right side
    11,754.30x = 129,526,121.99
  5. Step 5: Solve for x
    x = 129,526,121.99/11,754.30
  6. Step 6: Final answer
    x = 11,019.47

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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.