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Finding the Fourth Proportional to 11,638, 16,059.36 and 6,923.44

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Solution

The fourth proportional to 11,638, 16,059.36 and 6,923.44 is: 9,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638 : 16,059.36 = 6,923.44 : x
  2. Step 2: Convert to fraction form
    11,638/16,059.36 = 6,923.44/x
  3. Step 3: Cross multiply
    11,638x = 16,059.36 × 6,923.44
  4. Step 4: Simplify right side
    11,638x = 111,186,015.40
  5. Step 5: Solve for x
    x = 111,186,015.40/11,638
  6. Step 6: Final answer
    x = 9,553.70

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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.