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Finding the Fourth Proportional to 7,196, 10,794.42 and 2,265.80

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Solution

The fourth proportional to 7,196, 10,794.42 and 2,265.80 is: 3,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196 : 10,794.42 = 2,265.80 : x
  2. Step 2: Convert to fraction form
    7,196/10,794.42 = 2,265.80/x
  3. Step 3: Cross multiply
    7,196x = 10,794.42 × 2,265.80
  4. Step 4: Simplify right side
    7,196x = 24,457,996.84
  5. Step 5: Solve for x
    x = 24,457,996.84/7,196
  6. Step 6: Final answer
    x = 3,398.83

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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.