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Finding the Fourth Proportional to 5,971.75, 8,954.15 and 2,274.23

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Solution

The fourth proportional to 5,971.75, 8,954.15 and 2,274.23 is: 3,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.75 : 8,954.15 = 2,274.23 : x
  2. Step 2: Convert to fraction form
    5,971.75/8,954.15 = 2,274.23/x
  3. Step 3: Cross multiply
    5,971.75x = 8,954.15 × 2,274.23
  4. Step 4: Simplify right side
    5,971.75x = 20,363,807.57
  5. Step 5: Solve for x
    x = 20,363,807.57/5,971.75
  6. Step 6: Final answer
    x = 3,410.02

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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.