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Finding the Fourth Proportional to 11,016, 15,202.44 and 6,300

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Solution

The fourth proportional to 11,016, 15,202.44 and 6,300 is: 8,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016 : 15,202.44 = 6,300 : x
  2. Step 2: Convert to fraction form
    11,016/15,202.44 = 6,300/x
  3. Step 3: Cross multiply
    11,016x = 15,202.44 × 6,300
  4. Step 4: Simplify right side
    11,016x = 95,775,372
  5. Step 5: Solve for x
    x = 95,775,372/11,016
  6. Step 6: Final answer
    x = 8,694.21

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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.