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Finding the Fourth Proportional to 23,564, 35,346 and 7,148

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Solution

The fourth proportional to 23,564, 35,346 and 7,148 is: 10,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564 : 35,346 = 7,148 : x
  2. Step 2: Convert to fraction form
    23,564/35,346 = 7,148/x
  3. Step 3: Cross multiply
    23,564x = 35,346 × 7,148
  4. Step 4: Simplify right side
    23,564x = 252,653,208
  5. Step 5: Solve for x
    x = 252,653,208/23,564
  6. Step 6: Final answer
    x = 10,722

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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.