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Finding the Fourth Proportional to 6,880.27, 9,494.77 and 3,736.46

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Solution

The fourth proportional to 6,880.27, 9,494.77 and 3,736.46 is: 5,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.27 : 9,494.77 = 3,736.46 : x
  2. Step 2: Convert to fraction form
    6,880.27/9,494.77 = 3,736.46/x
  3. Step 3: Cross multiply
    6,880.27x = 9,494.77 × 3,736.46
  4. Step 4: Simplify right side
    6,880.27x = 35,476,828.31
  5. Step 5: Solve for x
    x = 35,476,828.31/6,880.27
  6. Step 6: Final answer
    x = 5,156.31

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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.