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Finding the Fourth Proportional to 11,614.55, 16,028.97 and 7,076.66

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Solution

The fourth proportional to 11,614.55, 16,028.97 and 7,076.66 is: 9,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.55 : 16,028.97 = 7,076.66 : x
  2. Step 2: Convert to fraction form
    11,614.55/16,028.97 = 7,076.66/x
  3. Step 3: Cross multiply
    11,614.55x = 16,028.97 × 7,076.66
  4. Step 4: Simplify right side
    11,614.55x = 113,431,570.84
  5. Step 5: Solve for x
    x = 113,431,570.84/11,614.55
  6. Step 6: Final answer
    x = 9,766.33

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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.