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Finding the Fourth Proportional to 17,771.25, 26,649.11 and 9,449.25

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Solution

The fourth proportional to 17,771.25, 26,649.11 and 9,449.25 is: 14,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.25 : 26,649.11 = 9,449.25 : x
  2. Step 2: Convert to fraction form
    17,771.25/26,649.11 = 9,449.25/x
  3. Step 3: Cross multiply
    17,771.25x = 26,649.11 × 9,449.25
  4. Step 4: Simplify right side
    17,771.25x = 251,814,055.42
  5. Step 5: Solve for x
    x = 251,814,055.42/17,771.25
  6. Step 6: Final answer
    x = 14,169.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.