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Finding the Fourth Proportional to 27,826, 41,739 and 9,358

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Solution

The fourth proportional to 27,826, 41,739 and 9,358 is: 14,037

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826 : 41,739 = 9,358 : x
  2. Step 2: Convert to fraction form
    27,826/41,739 = 9,358/x
  3. Step 3: Cross multiply
    27,826x = 41,739 × 9,358
  4. Step 4: Simplify right side
    27,826x = 390,593,562
  5. Step 5: Solve for x
    x = 390,593,562/27,826
  6. Step 6: Final answer
    x = 14,037

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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.