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Finding the Fourth Proportional to 9,980.96, 14,976.90 and 6,696.81

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Solution

The fourth proportional to 9,980.96, 14,976.90 and 6,696.81 is: 10,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.96 : 14,976.90 = 6,696.81 : x
  2. Step 2: Convert to fraction form
    9,980.96/14,976.90 = 6,696.81/x
  3. Step 3: Cross multiply
    9,980.96x = 14,976.90 × 6,696.81
  4. Step 4: Simplify right side
    9,980.96x = 100,297,453.69
  5. Step 5: Solve for x
    x = 100,297,453.69/9,980.96
  6. Step 6: Final answer
    x = 10,048.88

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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.