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Finding the Fourth Proportional to 7,369, 10,169.22 and 4,057

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Solution

The fourth proportional to 7,369, 10,169.22 and 4,057 is: 5,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369 : 10,169.22 = 4,057 : x
  2. Step 2: Convert to fraction form
    7,369/10,169.22 = 4,057/x
  3. Step 3: Cross multiply
    7,369x = 10,169.22 × 4,057
  4. Step 4: Simplify right side
    7,369x = 41,256,525.54
  5. Step 5: Solve for x
    x = 41,256,525.54/7,369
  6. Step 6: Final answer
    x = 5,598.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.