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Finding the Fourth Proportional to 23,796, 35,694 and 7,380

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Solution

The fourth proportional to 23,796, 35,694 and 7,380 is: 11,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796 : 35,694 = 7,380 : x
  2. Step 2: Convert to fraction form
    23,796/35,694 = 7,380/x
  3. Step 3: Cross multiply
    23,796x = 35,694 × 7,380
  4. Step 4: Simplify right side
    23,796x = 263,421,720
  5. Step 5: Solve for x
    x = 263,421,720/23,796
  6. Step 6: Final answer
    x = 11,070

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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.