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Finding the Fourth Proportional to 11,713.78, 16,160.48 and 7,464.08

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Solution

The fourth proportional to 11,713.78, 16,160.48 and 7,464.08 is: 10,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.78 : 16,160.48 = 7,464.08 : x
  2. Step 2: Convert to fraction form
    11,713.78/16,160.48 = 7,464.08/x
  3. Step 3: Cross multiply
    11,713.78x = 16,160.48 × 7,464.08
  4. Step 4: Simplify right side
    11,713.78x = 120,623,115.56
  5. Step 5: Solve for x
    x = 120,623,115.56/11,713.78
  6. Step 6: Final answer
    x = 10,297.54

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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.