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Finding the Fourth Proportional to 11,284, 16,926 and 3,076

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Solution

The fourth proportional to 11,284, 16,926 and 3,076 is: 4,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284 : 16,926 = 3,076 : x
  2. Step 2: Convert to fraction form
    11,284/16,926 = 3,076/x
  3. Step 3: Cross multiply
    11,284x = 16,926 × 3,076
  4. Step 4: Simplify right side
    11,284x = 52,064,376
  5. Step 5: Solve for x
    x = 52,064,376/11,284
  6. Step 6: Final answer
    x = 4,614

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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.