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Finding the Fourth Proportional to 6,563.70, 9,846.81 and 2,122.56

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Solution

The fourth proportional to 6,563.70, 9,846.81 and 2,122.56 is: 3,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.70 : 9,846.81 = 2,122.56 : x
  2. Step 2: Convert to fraction form
    6,563.70/9,846.81 = 2,122.56/x
  3. Step 3: Cross multiply
    6,563.70x = 9,846.81 × 2,122.56
  4. Step 4: Simplify right side
    6,563.70x = 20,900,445.03
  5. Step 5: Solve for x
    x = 20,900,445.03/6,563.70
  6. Step 6: Final answer
    x = 3,184.25

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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.