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Finding the Fourth Proportional to 17,241.86, 25,857.78 and 7,876.91

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Solution

The fourth proportional to 17,241.86, 25,857.78 and 7,876.91 is: 11,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,241.86 : 25,857.78 = 7,876.91 : x
  2. Step 2: Convert to fraction form
    17,241.86/25,857.78 = 7,876.91/x
  3. Step 3: Cross multiply
    17,241.86x = 25,857.78 × 7,876.91
  4. Step 4: Simplify right side
    17,241.86x = 203,679,405.86
  5. Step 5: Solve for x
    x = 203,679,405.86/17,241.86
  6. Step 6: Final answer
    x = 11,813.08

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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.