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Finding the Fourth Proportional to 5,969.84, 8,951.16 and 2,850.80

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Solution

The fourth proportional to 5,969.84, 8,951.16 and 2,850.80 is: 4,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.84 : 8,951.16 = 2,850.80 : x
  2. Step 2: Convert to fraction form
    5,969.84/8,951.16 = 2,850.80/x
  3. Step 3: Cross multiply
    5,969.84x = 8,951.16 × 2,850.80
  4. Step 4: Simplify right side
    5,969.84x = 25,517,966.93
  5. Step 5: Solve for x
    x = 25,517,966.93/5,969.84
  6. Step 6: Final answer
    x = 4,274.48

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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.