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Finding the Fourth Proportional to 6,377.44, 8,806.38 and 4,900

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Solution

The fourth proportional to 6,377.44, 8,806.38 and 4,900 is: 6,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.44 : 8,806.38 = 4,900 : x
  2. Step 2: Convert to fraction form
    6,377.44/8,806.38 = 4,900/x
  3. Step 3: Cross multiply
    6,377.44x = 8,806.38 × 4,900
  4. Step 4: Simplify right side
    6,377.44x = 43,151,262.00
  5. Step 5: Solve for x
    x = 43,151,262.00/6,377.44
  6. Step 6: Final answer
    x = 6,766.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.