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Finding the Fourth Proportional to 6,697.98, 10,043.78 and 3,000.24

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Solution

The fourth proportional to 6,697.98, 10,043.78 and 3,000.24 is: 4,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.98 : 10,043.78 = 3,000.24 : x
  2. Step 2: Convert to fraction form
    6,697.98/10,043.78 = 3,000.24/x
  3. Step 3: Cross multiply
    6,697.98x = 10,043.78 × 3,000.24
  4. Step 4: Simplify right side
    6,697.98x = 30,133,735.51
  5. Step 5: Solve for x
    x = 30,133,735.51/6,697.98
  6. Step 6: Final answer
    x = 4,498.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.