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Finding the Fourth Proportional to 7,206.49, 9,944.60 and 4,019.22

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Solution

The fourth proportional to 7,206.49, 9,944.60 and 4,019.22 is: 5,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.49 : 9,944.60 = 4,019.22 : x
  2. Step 2: Convert to fraction form
    7,206.49/9,944.60 = 4,019.22/x
  3. Step 3: Cross multiply
    7,206.49x = 9,944.60 × 4,019.22
  4. Step 4: Simplify right side
    7,206.49x = 39,969,515.12
  5. Step 5: Solve for x
    x = 39,969,515.12/7,206.49
  6. Step 6: Final answer
    x = 5,546.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.