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Finding the Fourth Proportional to 14,851.09, 20,494.49 and 8,137.14

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Solution

The fourth proportional to 14,851.09, 20,494.49 and 8,137.14 is: 11,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851.09 : 20,494.49 = 8,137.14 : x
  2. Step 2: Convert to fraction form
    14,851.09/20,494.49 = 8,137.14/x
  3. Step 3: Cross multiply
    14,851.09x = 20,494.49 × 8,137.14
  4. Step 4: Simplify right side
    14,851.09x = 166,766,534.36
  5. Step 5: Solve for x
    x = 166,766,534.36/14,851.09
  6. Step 6: Final answer
    x = 11,229.25

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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.