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Finding the Fourth Proportional to 11,738, 17,607 and 3,530

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Solution

The fourth proportional to 11,738, 17,607 and 3,530 is: 5,295

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738 : 17,607 = 3,530 : x
  2. Step 2: Convert to fraction form
    11,738/17,607 = 3,530/x
  3. Step 3: Cross multiply
    11,738x = 17,607 × 3,530
  4. Step 4: Simplify right side
    11,738x = 62,152,710
  5. Step 5: Solve for x
    x = 62,152,710/11,738
  6. Step 6: Final answer
    x = 5,295

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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.