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Finding the Fourth Proportional to 7,222.74, 10,834.11 and 1,957.75

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Solution

The fourth proportional to 7,222.74, 10,834.11 and 1,957.75 is: 2,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.74 : 10,834.11 = 1,957.75 : x
  2. Step 2: Convert to fraction form
    7,222.74/10,834.11 = 1,957.75/x
  3. Step 3: Cross multiply
    7,222.74x = 10,834.11 × 1,957.75
  4. Step 4: Simplify right side
    7,222.74x = 21,210,467.90
  5. Step 5: Solve for x
    x = 21,210,467.90/7,222.74
  6. Step 6: Final answer
    x = 2,936.62

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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.