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Finding the Fourth Proportional to 6,108.03, 9,144 and 4,554.84

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Solution

The fourth proportional to 6,108.03, 9,144 and 4,554.84 is: 6,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.03 : 9,144 = 4,554.84 : x
  2. Step 2: Convert to fraction form
    6,108.03/9,144 = 4,554.84/x
  3. Step 3: Cross multiply
    6,108.03x = 9,144 × 4,554.84
  4. Step 4: Simplify right side
    6,108.03x = 41,649,456.96
  5. Step 5: Solve for x
    x = 41,649,456.96/6,108.03
  6. Step 6: Final answer
    x = 6,818.80

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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.