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Finding the Fourth Proportional to 6,846.88, 9,450.96 and 4,194.40

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Solution

The fourth proportional to 6,846.88, 9,450.96 and 4,194.40 is: 5,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.88 : 9,450.96 = 4,194.40 : x
  2. Step 2: Convert to fraction form
    6,846.88/9,450.96 = 4,194.40/x
  3. Step 3: Cross multiply
    6,846.88x = 9,450.96 × 4,194.40
  4. Step 4: Simplify right side
    6,846.88x = 39,641,106.62
  5. Step 5: Solve for x
    x = 39,641,106.62/6,846.88
  6. Step 6: Final answer
    x = 5,789.66

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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.