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Finding the Fourth Proportional to 7,676.75, 10,592.32 and 4,489.42

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Solution

The fourth proportional to 7,676.75, 10,592.32 and 4,489.42 is: 6,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.75 : 10,592.32 = 4,489.42 : x
  2. Step 2: Convert to fraction form
    7,676.75/10,592.32 = 4,489.42/x
  3. Step 3: Cross multiply
    7,676.75x = 10,592.32 × 4,489.42
  4. Step 4: Simplify right side
    7,676.75x = 47,553,375.27
  5. Step 5: Solve for x
    x = 47,553,375.27/7,676.75
  6. Step 6: Final answer
    x = 6,194.47

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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.