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Finding the Fourth Proportional to 6,910, 9,536.70 and 4,115.50

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Solution

The fourth proportional to 6,910, 9,536.70 and 4,115.50 is: 5,679.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910 : 9,536.70 = 4,115.50 : x
  2. Step 2: Convert to fraction form
    6,910/9,536.70 = 4,115.50/x
  3. Step 3: Cross multiply
    6,910x = 9,536.70 × 4,115.50
  4. Step 4: Simplify right side
    6,910x = 39,248,288.85
  5. Step 5: Solve for x
    x = 39,248,288.85/6,910
  6. Step 6: Final answer
    x = 5,679.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.