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Finding the Fourth Proportional to 13,951.68, 19,253.28 and 7,983.24

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Solution

The fourth proportional to 13,951.68, 19,253.28 and 7,983.24 is: 11,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.68 : 19,253.28 = 7,983.24 : x
  2. Step 2: Convert to fraction form
    13,951.68/19,253.28 = 7,983.24/x
  3. Step 3: Cross multiply
    13,951.68x = 19,253.28 × 7,983.24
  4. Step 4: Simplify right side
    13,951.68x = 153,703,555.03
  5. Step 5: Solve for x
    x = 153,703,555.03/13,951.68
  6. Step 6: Final answer
    x = 11,016.85

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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.