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Finding the Fourth Proportional to 6,476.75, 9,715.26 and 1,859.75

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Solution

The fourth proportional to 6,476.75, 9,715.26 and 1,859.75 is: 2,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.75 : 9,715.26 = 1,859.75 : x
  2. Step 2: Convert to fraction form
    6,476.75/9,715.26 = 1,859.75/x
  3. Step 3: Cross multiply
    6,476.75x = 9,715.26 × 1,859.75
  4. Step 4: Simplify right side
    6,476.75x = 18,067,954.79
  5. Step 5: Solve for x
    x = 18,067,954.79/6,476.75
  6. Step 6: Final answer
    x = 2,789.66

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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.