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Finding the Fourth Proportional to 14,963.82, 20,649.12 and 8,249.08

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Solution

The fourth proportional to 14,963.82, 20,649.12 and 8,249.08 is: 11,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963.82 : 20,649.12 = 8,249.08 : x
  2. Step 2: Convert to fraction form
    14,963.82/20,649.12 = 8,249.08/x
  3. Step 3: Cross multiply
    14,963.82x = 20,649.12 × 8,249.08
  4. Step 4: Simplify right side
    14,963.82x = 170,336,242.81
  5. Step 5: Solve for x
    x = 170,336,242.81/14,963.82
  6. Step 6: Final answer
    x = 11,383.21

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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.