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Finding the Fourth Proportional to 6,522.93, 9,786.92 and 3,057.75

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Solution

The fourth proportional to 6,522.93, 9,786.92 and 3,057.75 is: 4,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.93 : 9,786.92 = 3,057.75 : x
  2. Step 2: Convert to fraction form
    6,522.93/9,786.92 = 3,057.75/x
  3. Step 3: Cross multiply
    6,522.93x = 9,786.92 × 3,057.75
  4. Step 4: Simplify right side
    6,522.93x = 29,925,939.34
  5. Step 5: Solve for x
    x = 29,925,939.34/6,522.93
  6. Step 6: Final answer
    x = 4,587.81

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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.