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Finding the Fourth Proportional to 6,404.33, 9,605.68 and 2,022.23

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Solution

The fourth proportional to 6,404.33, 9,605.68 and 2,022.23 is: 3,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.33 : 9,605.68 = 2,022.23 : x
  2. Step 2: Convert to fraction form
    6,404.33/9,605.68 = 2,022.23/x
  3. Step 3: Cross multiply
    6,404.33x = 9,605.68 × 2,022.23
  4. Step 4: Simplify right side
    6,404.33x = 19,424,841.18
  5. Step 5: Solve for x
    x = 19,424,841.18/6,404.33
  6. Step 6: Final answer
    x = 3,033.08

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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.