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Finding the Fourth Proportional to 23,562, 35,343 and 7,146

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Solution

The fourth proportional to 23,562, 35,343 and 7,146 is: 10,719

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562 : 35,343 = 7,146 : x
  2. Step 2: Convert to fraction form
    23,562/35,343 = 7,146/x
  3. Step 3: Cross multiply
    23,562x = 35,343 × 7,146
  4. Step 4: Simplify right side
    23,562x = 252,561,078
  5. Step 5: Solve for x
    x = 252,561,078/23,562
  6. Step 6: Final answer
    x = 10,719

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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.