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Finding the Fourth Proportional to 11,649.78, 17,462.36 and 8,361.08

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Solution

The fourth proportional to 11,649.78, 17,462.36 and 8,361.08 is: 12,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.78 : 17,462.36 = 8,361.08 : x
  2. Step 2: Convert to fraction form
    11,649.78/17,462.36 = 8,361.08/x
  3. Step 3: Cross multiply
    11,649.78x = 17,462.36 × 8,361.08
  4. Step 4: Simplify right side
    11,649.78x = 146,004,188.95
  5. Step 5: Solve for x
    x = 146,004,188.95/11,649.78
  6. Step 6: Final answer
    x = 12,532.79

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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.