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Finding the Fourth Proportional to 6,993.66, 10,491 and 2,313.48

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Solution

The fourth proportional to 6,993.66, 10,491 and 2,313.48 is: 3,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.66 : 10,491 = 2,313.48 : x
  2. Step 2: Convert to fraction form
    6,993.66/10,491 = 2,313.48/x
  3. Step 3: Cross multiply
    6,993.66x = 10,491 × 2,313.48
  4. Step 4: Simplify right side
    6,993.66x = 24,270,718.68
  5. Step 5: Solve for x
    x = 24,270,718.68/6,993.66
  6. Step 6: Final answer
    x = 3,470.39

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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.