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Finding the Fourth Proportional to 6,996.64, 10,496.50 and 2,318.10

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Solution

The fourth proportional to 6,996.64, 10,496.50 and 2,318.10 is: 3,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.64 : 10,496.50 = 2,318.10 : x
  2. Step 2: Convert to fraction form
    6,996.64/10,496.50 = 2,318.10/x
  3. Step 3: Cross multiply
    6,996.64x = 10,496.50 × 2,318.10
  4. Step 4: Simplify right side
    6,996.64x = 24,331,936.65
  5. Step 5: Solve for x
    x = 24,331,936.65/6,996.64
  6. Step 6: Final answer
    x = 3,477.66

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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.