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Finding the Fourth Proportional to 6,980.50, 10,470.75 and 1,786.38

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Solution

The fourth proportional to 6,980.50, 10,470.75 and 1,786.38 is: 2,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.50 : 10,470.75 = 1,786.38 : x
  2. Step 2: Convert to fraction form
    6,980.50/10,470.75 = 1,786.38/x
  3. Step 3: Cross multiply
    6,980.50x = 10,470.75 × 1,786.38
  4. Step 4: Simplify right side
    6,980.50x = 18,704,738.39
  5. Step 5: Solve for x
    x = 18,704,738.39/6,980.50
  6. Step 6: Final answer
    x = 2,679.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.