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Finding the Fourth Proportional to 15,052, 22,578 and 4,108

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Solution

The fourth proportional to 15,052, 22,578 and 4,108 is: 6,162

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,052 : 22,578 = 4,108 : x
  2. Step 2: Convert to fraction form
    15,052/22,578 = 4,108/x
  3. Step 3: Cross multiply
    15,052x = 22,578 × 4,108
  4. Step 4: Simplify right side
    15,052x = 92,750,424
  5. Step 5: Solve for x
    x = 92,750,424/15,052
  6. Step 6: Final answer
    x = 6,162

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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.