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Finding the Fourth Proportional to 11,771.56, 17,657.22 and 3,563.56

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Solution

The fourth proportional to 11,771.56, 17,657.22 and 3,563.56 is: 5,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.56 : 17,657.22 = 3,563.56 : x
  2. Step 2: Convert to fraction form
    11,771.56/17,657.22 = 3,563.56/x
  3. Step 3: Cross multiply
    11,771.56x = 17,657.22 × 3,563.56
  4. Step 4: Simplify right side
    11,771.56x = 62,922,562.90
  5. Step 5: Solve for x
    x = 62,922,562.90/11,771.56
  6. Step 6: Final answer
    x = 5,345.30

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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.