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Finding the Fourth Proportional to 5,969.89, 8,954.63 and 2,074.20

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Solution

The fourth proportional to 5,969.89, 8,954.63 and 2,074.20 is: 3,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.89 : 8,954.63 = 2,074.20 : x
  2. Step 2: Convert to fraction form
    5,969.89/8,954.63 = 2,074.20/x
  3. Step 3: Cross multiply
    5,969.89x = 8,954.63 × 2,074.20
  4. Step 4: Simplify right side
    5,969.89x = 18,573,693.55
  5. Step 5: Solve for x
    x = 18,573,693.55/5,969.89
  6. Step 6: Final answer
    x = 3,111.23

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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.