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Finding the Fourth Proportional to 6,991.94, 10,484.60 and 2,546.46

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Solution

The fourth proportional to 6,991.94, 10,484.60 and 2,546.46 is: 3,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.94 : 10,484.60 = 2,546.46 : x
  2. Step 2: Convert to fraction form
    6,991.94/10,484.60 = 2,546.46/x
  3. Step 3: Cross multiply
    6,991.94x = 10,484.60 × 2,546.46
  4. Step 4: Simplify right side
    6,991.94x = 26,698,614.52
  5. Step 5: Solve for x
    x = 26,698,614.52/6,991.94
  6. Step 6: Final answer
    x = 3,818.48

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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.