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Finding the Fourth Proportional to 6,894.75, 10,332.99 and 2,507.97

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Solution

The fourth proportional to 6,894.75, 10,332.99 and 2,507.97 is: 3,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.75 : 10,332.99 = 2,507.97 : x
  2. Step 2: Convert to fraction form
    6,894.75/10,332.99 = 2,507.97/x
  3. Step 3: Cross multiply
    6,894.75x = 10,332.99 × 2,507.97
  4. Step 4: Simplify right side
    6,894.75x = 25,914,828.93
  5. Step 5: Solve for x
    x = 25,914,828.93/6,894.75
  6. Step 6: Final answer
    x = 3,758.63

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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.