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Finding the Fourth Proportional to 6,806.07, 9,393.91 and 4,446.86

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Solution

The fourth proportional to 6,806.07, 9,393.91 and 4,446.86 is: 6,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.07 : 9,393.91 = 4,446.86 : x
  2. Step 2: Convert to fraction form
    6,806.07/9,393.91 = 4,446.86/x
  3. Step 3: Cross multiply
    6,806.07x = 9,393.91 × 4,446.86
  4. Step 4: Simplify right side
    6,806.07x = 41,773,344.54
  5. Step 5: Solve for x
    x = 41,773,344.54/6,806.07
  6. Step 6: Final answer
    x = 6,137.66

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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.