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Finding the Fourth Proportional to 11,504.76, 17,257 and 3,184.71

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Solution

The fourth proportional to 11,504.76, 17,257 and 3,184.71 is: 4,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.76 : 17,257 = 3,184.71 : x
  2. Step 2: Convert to fraction form
    11,504.76/17,257 = 3,184.71/x
  3. Step 3: Cross multiply
    11,504.76x = 17,257 × 3,184.71
  4. Step 4: Simplify right side
    11,504.76x = 54,958,540.47
  5. Step 5: Solve for x
    x = 54,958,540.47/11,504.76
  6. Step 6: Final answer
    x = 4,777.03

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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.