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Finding the Fourth Proportional to 7,806.02, 11,713.08 and 3,426.56

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Solution

The fourth proportional to 7,806.02, 11,713.08 and 3,426.56 is: 5,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.02 : 11,713.08 = 3,426.56 : x
  2. Step 2: Convert to fraction form
    7,806.02/11,713.08 = 3,426.56/x
  3. Step 3: Cross multiply
    7,806.02x = 11,713.08 × 3,426.56
  4. Step 4: Simplify right side
    7,806.02x = 40,135,571.40
  5. Step 5: Solve for x
    x = 40,135,571.40/7,806.02
  6. Step 6: Final answer
    x = 5,141.62

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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.