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Finding the Fourth Proportional to 6,469.72, 9,704.58 and 5,165.08

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Solution

The fourth proportional to 6,469.72, 9,704.58 and 5,165.08 is: 7,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.72 : 9,704.58 = 5,165.08 : x
  2. Step 2: Convert to fraction form
    6,469.72/9,704.58 = 5,165.08/x
  3. Step 3: Cross multiply
    6,469.72x = 9,704.58 × 5,165.08
  4. Step 4: Simplify right side
    6,469.72x = 50,124,932.07
  5. Step 5: Solve for x
    x = 50,124,932.07/6,469.72
  6. Step 6: Final answer
    x = 7,747.62

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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.