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Finding the Fourth Proportional to 6,906.65, 10,358.46 and 1,974.96

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Solution

The fourth proportional to 6,906.65, 10,358.46 and 1,974.96 is: 2,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.65 : 10,358.46 = 1,974.96 : x
  2. Step 2: Convert to fraction form
    6,906.65/10,358.46 = 1,974.96/x
  3. Step 3: Cross multiply
    6,906.65x = 10,358.46 × 1,974.96
  4. Step 4: Simplify right side
    6,906.65x = 20,457,544.16
  5. Step 5: Solve for x
    x = 20,457,544.16/6,906.65
  6. Step 6: Final answer
    x = 2,962.01

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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.