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Finding the Fourth Proportional to 6,690, 10,035 and 1,826

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Solution

The fourth proportional to 6,690, 10,035 and 1,826 is: 2,739

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690 : 10,035 = 1,826 : x
  2. Step 2: Convert to fraction form
    6,690/10,035 = 1,826/x
  3. Step 3: Cross multiply
    6,690x = 10,035 × 1,826
  4. Step 4: Simplify right side
    6,690x = 18,323,910
  5. Step 5: Solve for x
    x = 18,323,910/6,690
  6. Step 6: Final answer
    x = 2,739

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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.