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Finding the Fourth Proportional to 4,920.75, 7,381.13 and 4,796.82

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Solution

The fourth proportional to 4,920.75, 7,381.13 and 4,796.82 is: 7,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.75 : 7,381.13 = 4,796.82 : x
  2. Step 2: Convert to fraction form
    4,920.75/7,381.13 = 4,796.82/x
  3. Step 3: Cross multiply
    4,920.75x = 7,381.13 × 4,796.82
  4. Step 4: Simplify right side
    4,920.75x = 35,405,928.02
  5. Step 5: Solve for x
    x = 35,405,928.02/4,920.75
  6. Step 6: Final answer
    x = 7,195.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.