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Finding the Fourth Proportional to 6,806.90, 9,393.91 and 3,823.27

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Solution

The fourth proportional to 6,806.90, 9,393.91 and 3,823.27 is: 5,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.90 : 9,393.91 = 3,823.27 : x
  2. Step 2: Convert to fraction form
    6,806.90/9,393.91 = 3,823.27/x
  3. Step 3: Cross multiply
    6,806.90x = 9,393.91 × 3,823.27
  4. Step 4: Simplify right side
    6,806.90x = 35,915,421.24
  5. Step 5: Solve for x
    x = 35,915,421.24/6,806.90
  6. Step 6: Final answer
    x = 5,276.32

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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.