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Finding the Fourth Proportional to 17,097.22, 25,690.93 and 9,205.57

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Solution

The fourth proportional to 17,097.22, 25,690.93 and 9,205.57 is: 13,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.22 : 25,690.93 = 9,205.57 : x
  2. Step 2: Convert to fraction form
    17,097.22/25,690.93 = 9,205.57/x
  3. Step 3: Cross multiply
    17,097.22x = 25,690.93 × 9,205.57
  4. Step 4: Simplify right side
    17,097.22x = 236,499,480.00
  5. Step 5: Solve for x
    x = 236,499,480.00/17,097.22
  6. Step 6: Final answer
    x = 13,832.63

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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.