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Finding the Fourth Proportional to 14,963.34, 20,649.84 and 8,249.40

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Solution

The fourth proportional to 14,963.34, 20,649.84 and 8,249.40 is: 11,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963.34 : 20,649.84 = 8,249.40 : x
  2. Step 2: Convert to fraction form
    14,963.34/20,649.84 = 8,249.40/x
  3. Step 3: Cross multiply
    14,963.34x = 20,649.84 × 8,249.40
  4. Step 4: Simplify right side
    14,963.34x = 170,348,790.10
  5. Step 5: Solve for x
    x = 170,348,790.10/14,963.34
  6. Step 6: Final answer
    x = 11,384.41

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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.