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Finding the Fourth Proportional to 6,383.68, 9,576.74 and 1,999.96

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Solution

The fourth proportional to 6,383.68, 9,576.74 and 1,999.96 is: 3,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.68 : 9,576.74 = 1,999.96 : x
  2. Step 2: Convert to fraction form
    6,383.68/9,576.74 = 1,999.96/x
  3. Step 3: Cross multiply
    6,383.68x = 9,576.74 × 1,999.96
  4. Step 4: Simplify right side
    6,383.68x = 19,153,086.93
  5. Step 5: Solve for x
    x = 19,153,086.93/6,383.68
  6. Step 6: Final answer
    x = 3,000.32

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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.