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Finding the Fourth Proportional to 7,090.75, 9,785.24 and 3,947.55

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Solution

The fourth proportional to 7,090.75, 9,785.24 and 3,947.55 is: 5,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.75 : 9,785.24 = 3,947.55 : x
  2. Step 2: Convert to fraction form
    7,090.75/9,785.24 = 3,947.55/x
  3. Step 3: Cross multiply
    7,090.75x = 9,785.24 × 3,947.55
  4. Step 4: Simplify right side
    7,090.75x = 38,627,724.16
  5. Step 5: Solve for x
    x = 38,627,724.16/7,090.75
  6. Step 6: Final answer
    x = 5,447.62

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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.