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Finding the Fourth Proportional to 6,806.84, 10,206.43 and 2,362.43

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Solution

The fourth proportional to 6,806.84, 10,206.43 and 2,362.43 is: 3,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.84 : 10,206.43 = 2,362.43 : x
  2. Step 2: Convert to fraction form
    6,806.84/10,206.43 = 2,362.43/x
  3. Step 3: Cross multiply
    6,806.84x = 10,206.43 × 2,362.43
  4. Step 4: Simplify right side
    6,806.84x = 24,111,996.03
  5. Step 5: Solve for x
    x = 24,111,996.03/6,806.84
  6. Step 6: Final answer
    x = 3,542.32

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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.