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Finding the Fourth Proportional to 11,269, 15,551.94 and 6,301

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Solution

The fourth proportional to 11,269, 15,551.94 and 6,301 is: 8,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269 : 15,551.94 = 6,301 : x
  2. Step 2: Convert to fraction form
    11,269/15,551.94 = 6,301/x
  3. Step 3: Cross multiply
    11,269x = 15,551.94 × 6,301
  4. Step 4: Simplify right side
    11,269x = 97,992,773.94
  5. Step 5: Solve for x
    x = 97,992,773.94/11,269
  6. Step 6: Final answer
    x = 8,695.78

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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.