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Finding the Fourth Proportional to 7,090.88, 9,785.41 and 3,947.27

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Solution

The fourth proportional to 7,090.88, 9,785.41 and 3,947.27 is: 5,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.88 : 9,785.41 = 3,947.27 : x
  2. Step 2: Convert to fraction form
    7,090.88/9,785.41 = 3,947.27/x
  3. Step 3: Cross multiply
    7,090.88x = 9,785.41 × 3,947.27
  4. Step 4: Simplify right side
    7,090.88x = 38,625,596.54
  5. Step 5: Solve for x
    x = 38,625,596.54/7,090.88
  6. Step 6: Final answer
    x = 5,447.23

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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.