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Finding the Fourth Proportional to 6,812.56, 10,206.06 and 5,427.46

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Solution

The fourth proportional to 6,812.56, 10,206.06 and 5,427.46 is: 8,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.56 : 10,206.06 = 5,427.46 : x
  2. Step 2: Convert to fraction form
    6,812.56/10,206.06 = 5,427.46/x
  3. Step 3: Cross multiply
    6,812.56x = 10,206.06 × 5,427.46
  4. Step 4: Simplify right side
    6,812.56x = 55,392,982.41
  5. Step 5: Solve for x
    x = 55,392,982.41/6,812.56
  6. Step 6: Final answer
    x = 8,131.01

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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.