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Finding the Fourth Proportional to 7,206.26, 9,944.62 and 3,894.26

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Solution

The fourth proportional to 7,206.26, 9,944.62 and 3,894.26 is: 5,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.26 : 9,944.62 = 3,894.26 : x
  2. Step 2: Convert to fraction form
    7,206.26/9,944.62 = 3,894.26/x
  3. Step 3: Cross multiply
    7,206.26x = 9,944.62 × 3,894.26
  4. Step 4: Simplify right side
    7,206.26x = 38,726,935.88
  5. Step 5: Solve for x
    x = 38,726,935.88/7,206.26
  6. Step 6: Final answer
    x = 5,374.07

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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.