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Finding the Fourth Proportional to 7,090.94, 9,785.13 and 3,947.30

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Solution

The fourth proportional to 7,090.94, 9,785.13 and 3,947.30 is: 5,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.94 : 9,785.13 = 3,947.30 : x
  2. Step 2: Convert to fraction form
    7,090.94/9,785.13 = 3,947.30/x
  3. Step 3: Cross multiply
    7,090.94x = 9,785.13 × 3,947.30
  4. Step 4: Simplify right side
    7,090.94x = 38,624,843.65
  5. Step 5: Solve for x
    x = 38,624,843.65/7,090.94
  6. Step 6: Final answer
    x = 5,447.07

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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.