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Finding the Fourth Proportional to 18,596.94, 27,894 and 6,117.38

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Solution

The fourth proportional to 18,596.94, 27,894 and 6,117.38 is: 9,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.94 : 27,894 = 6,117.38 : x
  2. Step 2: Convert to fraction form
    18,596.94/27,894 = 6,117.38/x
  3. Step 3: Cross multiply
    18,596.94x = 27,894 × 6,117.38
  4. Step 4: Simplify right side
    18,596.94x = 170,638,197.72
  5. Step 5: Solve for x
    x = 170,638,197.72/18,596.94
  6. Step 6: Final answer
    x = 9,175.61

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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.