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Finding the Fourth Proportional to 3,999.75, 5,999.63 and 1,263.75

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Solution

The fourth proportional to 3,999.75, 5,999.63 and 1,263.75 is: 1,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.75 : 5,999.63 = 1,263.75 : x
  2. Step 2: Convert to fraction form
    3,999.75/5,999.63 = 1,263.75/x
  3. Step 3: Cross multiply
    3,999.75x = 5,999.63 × 1,263.75
  4. Step 4: Simplify right side
    3,999.75x = 7,582,026.09
  5. Step 5: Solve for x
    x = 7,582,026.09/3,999.75
  6. Step 6: Final answer
    x = 1,895.63

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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.