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Finding the Fourth Proportional to 6,806.43, 10,205.64 and 3,645.63

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Solution

The fourth proportional to 6,806.43, 10,205.64 and 3,645.63 is: 5,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.43 : 10,205.64 = 3,645.63 : x
  2. Step 2: Convert to fraction form
    6,806.43/10,205.64 = 3,645.63/x
  3. Step 3: Cross multiply
    6,806.43x = 10,205.64 × 3,645.63
  4. Step 4: Simplify right side
    6,806.43x = 37,205,987.35
  5. Step 5: Solve for x
    x = 37,205,987.35/6,806.43
  6. Step 6: Final answer
    x = 5,466.30

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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.