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Finding the Fourth Proportional to 6,980.61, 10,470.92 and 2,363.25

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Solution

The fourth proportional to 6,980.61, 10,470.92 and 2,363.25 is: 3,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.61 : 10,470.92 = 2,363.25 : x
  2. Step 2: Convert to fraction form
    6,980.61/10,470.92 = 2,363.25/x
  3. Step 3: Cross multiply
    6,980.61x = 10,470.92 × 2,363.25
  4. Step 4: Simplify right side
    6,980.61x = 24,745,389.87
  5. Step 5: Solve for x
    x = 24,745,389.87/6,980.61
  6. Step 6: Final answer
    x = 3,544.88

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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.