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Finding the Fourth Proportional to 6,158, 9,237 and 2,695.26

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Solution

The fourth proportional to 6,158, 9,237 and 2,695.26 is: 4,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158 : 9,237 = 2,695.26 : x
  2. Step 2: Convert to fraction form
    6,158/9,237 = 2,695.26/x
  3. Step 3: Cross multiply
    6,158x = 9,237 × 2,695.26
  4. Step 4: Simplify right side
    6,158x = 24,896,116.62
  5. Step 5: Solve for x
    x = 24,896,116.62/6,158
  6. Step 6: Final answer
    x = 4,042.89

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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.