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Finding the Fourth Proportional to 11,841.66, 17,762.09 and 3,076.65

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Solution

The fourth proportional to 11,841.66, 17,762.09 and 3,076.65 is: 4,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.66 : 17,762.09 = 3,076.65 : x
  2. Step 2: Convert to fraction form
    11,841.66/17,762.09 = 3,076.65/x
  3. Step 3: Cross multiply
    11,841.66x = 17,762.09 × 3,076.65
  4. Step 4: Simplify right side
    11,841.66x = 54,647,718.82
  5. Step 5: Solve for x
    x = 54,647,718.82/11,841.66
  6. Step 6: Final answer
    x = 4,614.87

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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.