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Finding the Fourth Proportional to 17,098, 25,637.16 and 6,704.08

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Solution

The fourth proportional to 17,098, 25,637.16 and 6,704.08 is: 10,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098 : 25,637.16 = 6,704.08 : x
  2. Step 2: Convert to fraction form
    17,098/25,637.16 = 6,704.08/x
  3. Step 3: Cross multiply
    17,098x = 25,637.16 × 6,704.08
  4. Step 4: Simplify right side
    17,098x = 171,873,571.61
  5. Step 5: Solve for x
    x = 171,873,571.61/17,098
  6. Step 6: Final answer
    x = 10,052.26

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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.