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Finding the Fourth Proportional to 6,978.41, 10,462.85 and 2,296.70

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Solution

The fourth proportional to 6,978.41, 10,462.85 and 2,296.70 is: 3,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.41 : 10,462.85 = 2,296.70 : x
  2. Step 2: Convert to fraction form
    6,978.41/10,462.85 = 2,296.70/x
  3. Step 3: Cross multiply
    6,978.41x = 10,462.85 × 2,296.70
  4. Step 4: Simplify right side
    6,978.41x = 24,030,027.60
  5. Step 5: Solve for x
    x = 24,030,027.60/6,978.41
  6. Step 6: Final answer
    x = 3,443.48

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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.