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Finding the Fourth Proportional to 11,682.66, 17,524.24 and 4,186.71

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Solution

The fourth proportional to 11,682.66, 17,524.24 and 4,186.71 is: 6,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.66 : 17,524.24 = 4,186.71 : x
  2. Step 2: Convert to fraction form
    11,682.66/17,524.24 = 4,186.71/x
  3. Step 3: Cross multiply
    11,682.66x = 17,524.24 × 4,186.71
  4. Step 4: Simplify right side
    11,682.66x = 73,368,900.38
  5. Step 5: Solve for x
    x = 73,368,900.38/11,682.66
  6. Step 6: Final answer
    x = 6,280.15

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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.