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Finding the Fourth Proportional to 6,405.04, 9,609.11 and 2,022.49

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Solution

The fourth proportional to 6,405.04, 9,609.11 and 2,022.49 is: 3,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.04 : 9,609.11 = 2,022.49 : x
  2. Step 2: Convert to fraction form
    6,405.04/9,609.11 = 2,022.49/x
  3. Step 3: Cross multiply
    6,405.04x = 9,609.11 × 2,022.49
  4. Step 4: Simplify right side
    6,405.04x = 19,434,328.88
  5. Step 5: Solve for x
    x = 19,434,328.88/6,405.04
  6. Step 6: Final answer
    x = 3,034.22

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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.