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Finding the Fourth Proportional to 11,267, 15,549 and 6,299

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Solution

The fourth proportional to 11,267, 15,549 and 6,299 is: 8,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267 : 15,549 = 6,299 : x
  2. Step 2: Convert to fraction form
    11,267/15,549 = 6,299/x
  3. Step 3: Cross multiply
    11,267x = 15,549 × 6,299
  4. Step 4: Simplify right side
    11,267x = 97,943,151
  5. Step 5: Solve for x
    x = 97,943,151/11,267
  6. Step 6: Final answer
    x = 8,692.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.