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Finding the Fourth Proportional to 8,164, 12,246 and 2,692

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Solution

The fourth proportional to 8,164, 12,246 and 2,692 is: 4,038

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164 : 12,246 = 2,692 : x
  2. Step 2: Convert to fraction form
    8,164/12,246 = 2,692/x
  3. Step 3: Cross multiply
    8,164x = 12,246 × 2,692
  4. Step 4: Simplify right side
    8,164x = 32,966,232
  5. Step 5: Solve for x
    x = 32,966,232/8,164
  6. Step 6: Final answer
    x = 4,038

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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.