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Finding the Fourth Proportional to 7,764.46, 11,635.08 and 6,306.46

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Solution

The fourth proportional to 7,764.46, 11,635.08 and 6,306.46 is: 9,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.46 : 11,635.08 = 6,306.46 : x
  2. Step 2: Convert to fraction form
    7,764.46/11,635.08 = 6,306.46/x
  3. Step 3: Cross multiply
    7,764.46x = 11,635.08 × 6,306.46
  4. Step 4: Simplify right side
    7,764.46x = 73,376,166.62
  5. Step 5: Solve for x
    x = 73,376,166.62/7,764.46
  6. Step 6: Final answer
    x = 9,450.26

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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.