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Finding the Fourth Proportional to 11,832.78, 16,323.88 and 6,795.75

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Solution

The fourth proportional to 11,832.78, 16,323.88 and 6,795.75 is: 9,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.78 : 16,323.88 = 6,795.75 : x
  2. Step 2: Convert to fraction form
    11,832.78/16,323.88 = 6,795.75/x
  3. Step 3: Cross multiply
    11,832.78x = 16,323.88 × 6,795.75
  4. Step 4: Simplify right side
    11,832.78x = 110,933,007.51
  5. Step 5: Solve for x
    x = 110,933,007.51/11,832.78
  6. Step 6: Final answer
    x = 9,375.06

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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.