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Finding the Fourth Proportional to 6,692, 10,038 and 1,828

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Solution

The fourth proportional to 6,692, 10,038 and 1,828 is: 2,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692 : 10,038 = 1,828 : x
  2. Step 2: Convert to fraction form
    6,692/10,038 = 1,828/x
  3. Step 3: Cross multiply
    6,692x = 10,038 × 1,828
  4. Step 4: Simplify right side
    6,692x = 18,349,464
  5. Step 5: Solve for x
    x = 18,349,464/6,692
  6. Step 6: Final answer
    x = 2,742

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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.