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Finding the Fourth Proportional to 7,775.98, 11,654.20 and 6,126

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Solution

The fourth proportional to 7,775.98, 11,654.20 and 6,126 is: 9,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.98 : 11,654.20 = 6,126 : x
  2. Step 2: Convert to fraction form
    7,775.98/11,654.20 = 6,126/x
  3. Step 3: Cross multiply
    7,775.98x = 11,654.20 × 6,126
  4. Step 4: Simplify right side
    7,775.98x = 71,393,629.20
  5. Step 5: Solve for x
    x = 71,393,629.20/7,775.98
  6. Step 6: Final answer
    x = 9,181.30

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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.