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Finding the Fourth Proportional to 6,369.42, 9,540.19 and 4,514.91

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Solution

The fourth proportional to 6,369.42, 9,540.19 and 4,514.91 is: 6,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.42 : 9,540.19 = 4,514.91 : x
  2. Step 2: Convert to fraction form
    6,369.42/9,540.19 = 4,514.91/x
  3. Step 3: Cross multiply
    6,369.42x = 9,540.19 × 4,514.91
  4. Step 4: Simplify right side
    6,369.42x = 43,073,099.23
  5. Step 5: Solve for x
    x = 43,073,099.23/6,369.42
  6. Step 6: Final answer
    x = 6,762.48

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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.