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Finding the Fourth Proportional to 6,980.16, 10,472.22 and 2,819.64

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Solution

The fourth proportional to 6,980.16, 10,472.22 and 2,819.64 is: 4,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.16 : 10,472.22 = 2,819.64 : x
  2. Step 2: Convert to fraction form
    6,980.16/10,472.22 = 2,819.64/x
  3. Step 3: Cross multiply
    6,980.16x = 10,472.22 × 2,819.64
  4. Step 4: Simplify right side
    6,980.16x = 29,527,890.40
  5. Step 5: Solve for x
    x = 29,527,890.40/6,980.16
  6. Step 6: Final answer
    x = 4,230.26

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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.