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Finding the Fourth Proportional to 7,811.44, 11,745.26 and 7,202.60

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Solution

The fourth proportional to 7,811.44, 11,745.26 and 7,202.60 is: 10,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.44 : 11,745.26 = 7,202.60 : x
  2. Step 2: Convert to fraction form
    7,811.44/11,745.26 = 7,202.60/x
  3. Step 3: Cross multiply
    7,811.44x = 11,745.26 × 7,202.60
  4. Step 4: Simplify right side
    7,811.44x = 84,596,409.68
  5. Step 5: Solve for x
    x = 84,596,409.68/7,811.44
  6. Step 6: Final answer
    x = 10,829.81

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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.