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Finding the Fourth Proportional to 10,267, 15,401.24 and 4,111

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Solution

The fourth proportional to 10,267, 15,401.24 and 4,111 is: 6,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267 : 15,401.24 = 4,111 : x
  2. Step 2: Convert to fraction form
    10,267/15,401.24 = 4,111/x
  3. Step 3: Cross multiply
    10,267x = 15,401.24 × 4,111
  4. Step 4: Simplify right side
    10,267x = 63,314,497.64
  5. Step 5: Solve for x
    x = 63,314,497.64/10,267
  6. Step 6: Final answer
    x = 6,166.80

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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.