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Finding the Fourth Proportional to 11,642.87, 16,066.86 and 6,337.58

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Solution

The fourth proportional to 11,642.87, 16,066.86 and 6,337.58 is: 8,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.87 : 16,066.86 = 6,337.58 : x
  2. Step 2: Convert to fraction form
    11,642.87/16,066.86 = 6,337.58/x
  3. Step 3: Cross multiply
    11,642.87x = 16,066.86 × 6,337.58
  4. Step 4: Simplify right side
    11,642.87x = 101,824,906.50
  5. Step 5: Solve for x
    x = 101,824,906.50/11,642.87
  6. Step 6: Final answer
    x = 8,745.69

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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.