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Finding the Fourth Proportional to 6,941.09, 9,578.79 and 3,797.28

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Solution

The fourth proportional to 6,941.09, 9,578.79 and 3,797.28 is: 5,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.09 : 9,578.79 = 3,797.28 : x
  2. Step 2: Convert to fraction form
    6,941.09/9,578.79 = 3,797.28/x
  3. Step 3: Cross multiply
    6,941.09x = 9,578.79 × 3,797.28
  4. Step 4: Simplify right side
    6,941.09x = 36,373,347.69
  5. Step 5: Solve for x
    x = 36,373,347.69/6,941.09
  6. Step 6: Final answer
    x = 5,240.29

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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.