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Finding the Fourth Proportional to 6,902, 9,524.16 and 3,917.96

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Solution

The fourth proportional to 6,902, 9,524.16 and 3,917.96 is: 5,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 9,524.16 = 3,917.96 : x
  2. Step 2: Convert to fraction form
    6,902/9,524.16 = 3,917.96/x
  3. Step 3: Cross multiply
    6,902x = 9,524.16 × 3,917.96
  4. Step 4: Simplify right side
    6,902x = 37,315,277.91
  5. Step 5: Solve for x
    x = 37,315,277.91/6,902
  6. Step 6: Final answer
    x = 5,406.44

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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.