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Finding the Fourth Proportional to 12,361.78, 17,059.20 and 6,772.78

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Solution

The fourth proportional to 12,361.78, 17,059.20 and 6,772.78 is: 9,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.78 : 17,059.20 = 6,772.78 : x
  2. Step 2: Convert to fraction form
    12,361.78/17,059.20 = 6,772.78/x
  3. Step 3: Cross multiply
    12,361.78x = 17,059.20 × 6,772.78
  4. Step 4: Simplify right side
    12,361.78x = 115,538,208.58
  5. Step 5: Solve for x
    x = 115,538,208.58/12,361.78
  6. Step 6: Final answer
    x = 9,346.41

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1.5x scale

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.