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Finding the Fourth Proportional to 14,642.97, 20,203.79 and 8,269.68

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Solution

The fourth proportional to 14,642.97, 20,203.79 and 8,269.68 is: 11,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.97 : 20,203.79 = 8,269.68 : x
  2. Step 2: Convert to fraction form
    14,642.97/20,203.79 = 8,269.68/x
  3. Step 3: Cross multiply
    14,642.97x = 20,203.79 × 8,269.68
  4. Step 4: Simplify right side
    14,642.97x = 167,078,878.09
  5. Step 5: Solve for x
    x = 167,078,878.09/14,642.97
  6. Step 6: Final answer
    x = 11,410.18

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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.