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Finding the Fourth Proportional to 6,823.58, 9,375.73 and 5,423.90

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Solution

The fourth proportional to 6,823.58, 9,375.73 and 5,423.90 is: 7,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.58 : 9,375.73 = 5,423.90 : x
  2. Step 2: Convert to fraction form
    6,823.58/9,375.73 = 5,423.90/x
  3. Step 3: Cross multiply
    6,823.58x = 9,375.73 × 5,423.90
  4. Step 4: Simplify right side
    6,823.58x = 50,853,021.95
  5. Step 5: Solve for x
    x = 50,853,021.95/6,823.58
  6. Step 6: Final answer
    x = 7,452.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.