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Finding the Fourth Proportional to 11,741.68, 16,205.18 and 7,266.87

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Solution

The fourth proportional to 11,741.68, 16,205.18 and 7,266.87 is: 10,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.68 : 16,205.18 = 7,266.87 : x
  2. Step 2: Convert to fraction form
    11,741.68/16,205.18 = 7,266.87/x
  3. Step 3: Cross multiply
    11,741.68x = 16,205.18 × 7,266.87
  4. Step 4: Simplify right side
    11,741.68x = 117,760,936.39
  5. Step 5: Solve for x
    x = 117,760,936.39/11,741.68
  6. Step 6: Final answer
    x = 10,029.31

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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.