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Finding the Fourth Proportional to 6,980.74, 10,469.86 and 2,300.63

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Solution

The fourth proportional to 6,980.74, 10,469.86 and 2,300.63 is: 3,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.74 : 10,469.86 = 2,300.63 : x
  2. Step 2: Convert to fraction form
    6,980.74/10,469.86 = 2,300.63/x
  3. Step 3: Cross multiply
    6,980.74x = 10,469.86 × 2,300.63
  4. Step 4: Simplify right side
    6,980.74x = 24,087,215.91
  5. Step 5: Solve for x
    x = 24,087,215.91/6,980.74
  6. Step 6: Final answer
    x = 3,450.53

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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.