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Finding the Fourth Proportional to 5,865.75, 8,094.74 and 4,002.75

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Solution

The fourth proportional to 5,865.75, 8,094.74 and 4,002.75 is: 5,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.75 : 8,094.74 = 4,002.75 : x
  2. Step 2: Convert to fraction form
    5,865.75/8,094.74 = 4,002.75/x
  3. Step 3: Cross multiply
    5,865.75x = 8,094.74 × 4,002.75
  4. Step 4: Simplify right side
    5,865.75x = 32,401,200.52
  5. Step 5: Solve for x
    x = 32,401,200.52/5,865.75
  6. Step 6: Final answer
    x = 5,523.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.