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Finding the Fourth Proportional to 15,166, 22,749 and 4,222

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Solution

The fourth proportional to 15,166, 22,749 and 4,222 is: 6,333

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166 : 22,749 = 4,222 : x
  2. Step 2: Convert to fraction form
    15,166/22,749 = 4,222/x
  3. Step 3: Cross multiply
    15,166x = 22,749 × 4,222
  4. Step 4: Simplify right side
    15,166x = 96,046,278
  5. Step 5: Solve for x
    x = 96,046,278/15,166
  6. Step 6: Final answer
    x = 6,333

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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.