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Finding the Fourth Proportional to 11,713.69, 16,164.69 and 6,408.39

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Solution

The fourth proportional to 11,713.69, 16,164.69 and 6,408.39 is: 8,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.69 : 16,164.69 = 6,408.39 : x
  2. Step 2: Convert to fraction form
    11,713.69/16,164.69 = 6,408.39/x
  3. Step 3: Cross multiply
    11,713.69x = 16,164.69 × 6,408.39
  4. Step 4: Simplify right side
    11,713.69x = 103,589,637.75
  5. Step 5: Solve for x
    x = 103,589,637.75/11,713.69
  6. Step 6: Final answer
    x = 8,843.47

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Half scale
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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.