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Finding the Fourth Proportional to 6,522.65, 9,776.42 and 3,005.28

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Solution

The fourth proportional to 6,522.65, 9,776.42 and 3,005.28 is: 4,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.65 : 9,776.42 = 3,005.28 : x
  2. Step 2: Convert to fraction form
    6,522.65/9,776.42 = 3,005.28/x
  3. Step 3: Cross multiply
    6,522.65x = 9,776.42 × 3,005.28
  4. Step 4: Simplify right side
    6,522.65x = 29,380,879.50
  5. Step 5: Solve for x
    x = 29,380,879.50/6,522.65
  6. Step 6: Final answer
    x = 4,504.44

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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.