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Finding the Fourth Proportional to 12,649.59, 17,462.41 and 11,450.16

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Solution

The fourth proportional to 12,649.59, 17,462.41 and 11,450.16 is: 15,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.59 : 17,462.41 = 11,450.16 : x
  2. Step 2: Convert to fraction form
    12,649.59/17,462.41 = 11,450.16/x
  3. Step 3: Cross multiply
    12,649.59x = 17,462.41 × 11,450.16
  4. Step 4: Simplify right side
    12,649.59x = 199,947,388.49
  5. Step 5: Solve for x
    x = 199,947,388.49/12,649.59
  6. Step 6: Final answer
    x = 15,806.63

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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.