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Finding the Fourth Proportional to 6,993.30, 10,490.13 and 2,313.30

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Solution

The fourth proportional to 6,993.30, 10,490.13 and 2,313.30 is: 3,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.30 : 10,490.13 = 2,313.30 : x
  2. Step 2: Convert to fraction form
    6,993.30/10,490.13 = 2,313.30/x
  3. Step 3: Cross multiply
    6,993.30x = 10,490.13 × 2,313.30
  4. Step 4: Simplify right side
    6,993.30x = 24,266,817.73
  5. Step 5: Solve for x
    x = 24,266,817.73/6,993.30
  6. Step 6: Final answer
    x = 3,470.01

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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.