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Finding the Fourth Proportional to 4,825.87, 7,224.71 and 2,971.42

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Solution

The fourth proportional to 4,825.87, 7,224.71 and 2,971.42 is: 4,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.87 : 7,224.71 = 2,971.42 : x
  2. Step 2: Convert to fraction form
    4,825.87/7,224.71 = 2,971.42/x
  3. Step 3: Cross multiply
    4,825.87x = 7,224.71 × 2,971.42
  4. Step 4: Simplify right side
    4,825.87x = 21,467,611.66
  5. Step 5: Solve for x
    x = 21,467,611.66/4,825.87
  6. Step 6: Final answer
    x = 4,448.45

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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.