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Finding the Fourth Proportional to 17,098, 25,648.30 and 4,617.85

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Solution

The fourth proportional to 17,098, 25,648.30 and 4,617.85 is: 6,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098 : 25,648.30 = 4,617.85 : x
  2. Step 2: Convert to fraction form
    17,098/25,648.30 = 4,617.85/x
  3. Step 3: Cross multiply
    17,098x = 25,648.30 × 4,617.85
  4. Step 4: Simplify right side
    17,098x = 118,440,002.16
  5. Step 5: Solve for x
    x = 118,440,002.16/17,098
  6. Step 6: Final answer
    x = 6,927.13

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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.