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Finding the Fourth Proportional to 6,383.61, 9,576.63 and 3,098.25

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Solution

The fourth proportional to 6,383.61, 9,576.63 and 3,098.25 is: 4,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.61 : 9,576.63 = 3,098.25 : x
  2. Step 2: Convert to fraction form
    6,383.61/9,576.63 = 3,098.25/x
  3. Step 3: Cross multiply
    6,383.61x = 9,576.63 × 3,098.25
  4. Step 4: Simplify right side
    6,383.61x = 29,670,793.90
  5. Step 5: Solve for x
    x = 29,670,793.90/6,383.61
  6. Step 6: Final answer
    x = 4,647.96

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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.