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Finding the Fourth Proportional to 11,826.62, 17,745.16 and 6,278.62

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Solution

The fourth proportional to 11,826.62, 17,745.16 and 6,278.62 is: 9,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.62 : 17,745.16 = 6,278.62 : x
  2. Step 2: Convert to fraction form
    11,826.62/17,745.16 = 6,278.62/x
  3. Step 3: Cross multiply
    11,826.62x = 17,745.16 × 6,278.62
  4. Step 4: Simplify right side
    11,826.62x = 111,415,146.51
  5. Step 5: Solve for x
    x = 111,415,146.51/11,826.62
  6. Step 6: Final answer
    x = 9,420.71

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1.5x scale

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.