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Finding the Fourth Proportional to 11,713.79, 16,160.49 and 7,464.09

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Solution

The fourth proportional to 11,713.79, 16,160.49 and 7,464.09 is: 10,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.79 : 16,160.49 = 7,464.09 : x
  2. Step 2: Convert to fraction form
    11,713.79/16,160.49 = 7,464.09/x
  3. Step 3: Cross multiply
    11,713.79x = 16,160.49 × 7,464.09
  4. Step 4: Simplify right side
    11,713.79x = 120,623,351.80
  5. Step 5: Solve for x
    x = 120,623,351.80/11,713.79
  6. Step 6: Final answer
    x = 10,297.56

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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.