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Finding the Fourth Proportional to 7,313.94, 10,974.75 and 2,698.26

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Solution

The fourth proportional to 7,313.94, 10,974.75 and 2,698.26 is: 4,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.94 : 10,974.75 = 2,698.26 : x
  2. Step 2: Convert to fraction form
    7,313.94/10,974.75 = 2,698.26/x
  3. Step 3: Cross multiply
    7,313.94x = 10,974.75 × 2,698.26
  4. Step 4: Simplify right side
    7,313.94x = 29,612,728.94
  5. Step 5: Solve for x
    x = 29,612,728.94/7,313.94
  6. Step 6: Final answer
    x = 4,048.81

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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.