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Finding the Fourth Proportional to 6,978.75, 10,469.94 and 2,299.47

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Solution

The fourth proportional to 6,978.75, 10,469.94 and 2,299.47 is: 3,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.75 : 10,469.94 = 2,299.47 : x
  2. Step 2: Convert to fraction form
    6,978.75/10,469.94 = 2,299.47/x
  3. Step 3: Cross multiply
    6,978.75x = 10,469.94 × 2,299.47
  4. Step 4: Simplify right side
    6,978.75x = 24,075,312.93
  5. Step 5: Solve for x
    x = 24,075,312.93/6,978.75
  6. Step 6: Final answer
    x = 3,449.80

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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.