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Finding the Fourth Proportional to 6,404.70, 9,606.24 and 2,022.60

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Solution

The fourth proportional to 6,404.70, 9,606.24 and 2,022.60 is: 3,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.70 : 9,606.24 = 2,022.60 : x
  2. Step 2: Convert to fraction form
    6,404.70/9,606.24 = 2,022.60/x
  3. Step 3: Cross multiply
    6,404.70x = 9,606.24 × 2,022.60
  4. Step 4: Simplify right side
    6,404.70x = 19,429,581.02
  5. Step 5: Solve for x
    x = 19,429,581.02/6,404.70
  6. Step 6: Final answer
    x = 3,033.64

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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.