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Finding the Fourth Proportional to 6,650.70, 9,977.40 and 2,268.60

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Solution

The fourth proportional to 6,650.70, 9,977.40 and 2,268.60 is: 3,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.70 : 9,977.40 = 2,268.60 : x
  2. Step 2: Convert to fraction form
    6,650.70/9,977.40 = 2,268.60/x
  3. Step 3: Cross multiply
    6,650.70x = 9,977.40 × 2,268.60
  4. Step 4: Simplify right side
    6,650.70x = 22,634,729.64
  5. Step 5: Solve for x
    x = 22,634,729.64/6,650.70
  6. Step 6: Final answer
    x = 3,403.36

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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.