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Finding the Fourth Proportional to 22,564, 33,846 and 6,148

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Solution

The fourth proportional to 22,564, 33,846 and 6,148 is: 9,222

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564 : 33,846 = 6,148 : x
  2. Step 2: Convert to fraction form
    22,564/33,846 = 6,148/x
  3. Step 3: Cross multiply
    22,564x = 33,846 × 6,148
  4. Step 4: Simplify right side
    22,564x = 208,085,208
  5. Step 5: Solve for x
    x = 208,085,208/22,564
  6. Step 6: Final answer
    x = 9,222

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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.