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Finding the Fourth Proportional to 17,209.88, 25,814.78 and 7,342.86

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Solution

The fourth proportional to 17,209.88, 25,814.78 and 7,342.86 is: 11,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.88 : 25,814.78 = 7,342.86 : x
  2. Step 2: Convert to fraction form
    17,209.88/25,814.78 = 7,342.86/x
  3. Step 3: Cross multiply
    17,209.88x = 25,814.78 × 7,342.86
  4. Step 4: Simplify right side
    17,209.88x = 189,554,278.76
  5. Step 5: Solve for x
    x = 189,554,278.76/17,209.88
  6. Step 6: Final answer
    x = 11,014.27

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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.