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Finding the Fourth Proportional to 11,649.74, 17,474.16 and 2,884.46

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Solution

The fourth proportional to 11,649.74, 17,474.16 and 2,884.46 is: 4,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.74 : 17,474.16 = 2,884.46 : x
  2. Step 2: Convert to fraction form
    11,649.74/17,474.16 = 2,884.46/x
  3. Step 3: Cross multiply
    11,649.74x = 17,474.16 × 2,884.46
  4. Step 4: Simplify right side
    11,649.74x = 50,403,515.55
  5. Step 5: Solve for x
    x = 50,403,515.55/11,649.74
  6. Step 6: Final answer
    x = 4,326.58

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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.