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Finding the Fourth Proportional to 14,853.21, 20,496.54 and 8,137.50

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Solution

The fourth proportional to 14,853.21, 20,496.54 and 8,137.50 is: 11,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.21 : 20,496.54 = 8,137.50 : x
  2. Step 2: Convert to fraction form
    14,853.21/20,496.54 = 8,137.50/x
  3. Step 3: Cross multiply
    14,853.21x = 20,496.54 × 8,137.50
  4. Step 4: Simplify right side
    14,853.21x = 166,790,594.25
  5. Step 5: Solve for x
    x = 166,790,594.25/14,853.21
  6. Step 6: Final answer
    x = 11,229.26

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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.