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Finding the Fourth Proportional to 9,766, 14,649 and 3,610

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Solution

The fourth proportional to 9,766, 14,649 and 3,610 is: 5,415

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766 : 14,649 = 3,610 : x
  2. Step 2: Convert to fraction form
    9,766/14,649 = 3,610/x
  3. Step 3: Cross multiply
    9,766x = 14,649 × 3,610
  4. Step 4: Simplify right side
    9,766x = 52,882,890
  5. Step 5: Solve for x
    x = 52,882,890/9,766
  6. Step 6: Final answer
    x = 5,415

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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.