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Finding the Fourth Proportional to 11,713.55, 16,165.08 and 6,408.37

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Solution

The fourth proportional to 11,713.55, 16,165.08 and 6,408.37 is: 8,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.55 : 16,165.08 = 6,408.37 : x
  2. Step 2: Convert to fraction form
    11,713.55/16,165.08 = 6,408.37/x
  3. Step 3: Cross multiply
    11,713.55x = 16,165.08 × 6,408.37
  4. Step 4: Simplify right side
    11,713.55x = 103,591,773.31
  5. Step 5: Solve for x
    x = 103,591,773.31/11,713.55
  6. Step 6: Final answer
    x = 8,843.75

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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.