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Finding the Fourth Proportional to 11,846.58, 17,770.80 and 6,916.71

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Solution

The fourth proportional to 11,846.58, 17,770.80 and 6,916.71 is: 10,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.58 : 17,770.80 = 6,916.71 : x
  2. Step 2: Convert to fraction form
    11,846.58/17,770.80 = 6,916.71/x
  3. Step 3: Cross multiply
    11,846.58x = 17,770.80 × 6,916.71
  4. Step 4: Simplify right side
    11,846.58x = 122,915,470.07
  5. Step 5: Solve for x
    x = 122,915,470.07/11,846.58
  6. Step 6: Final answer
    x = 10,375.61

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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.