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Finding the Fourth Proportional to 17,195.88, 25,784.10 and 8,434.92

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Solution

The fourth proportional to 17,195.88, 25,784.10 and 8,434.92 is: 12,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,195.88 : 25,784.10 = 8,434.92 : x
  2. Step 2: Convert to fraction form
    17,195.88/25,784.10 = 8,434.92/x
  3. Step 3: Cross multiply
    17,195.88x = 25,784.10 × 8,434.92
  4. Step 4: Simplify right side
    17,195.88x = 217,486,820.77
  5. Step 5: Solve for x
    x = 217,486,820.77/17,195.88
  6. Step 6: Final answer
    x = 12,647.61

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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.