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Finding the Fourth Proportional to 10,177, 15,268.06 and 2,881

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Solution

The fourth proportional to 10,177, 15,268.06 and 2,881 is: 4,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177 : 15,268.06 = 2,881 : x
  2. Step 2: Convert to fraction form
    10,177/15,268.06 = 2,881/x
  3. Step 3: Cross multiply
    10,177x = 15,268.06 × 2,881
  4. Step 4: Simplify right side
    10,177x = 43,987,280.86
  5. Step 5: Solve for x
    x = 43,987,280.86/10,177
  6. Step 6: Final answer
    x = 4,322.22

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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.