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Finding the Fourth Proportional to 6,771.77, 10,153.94 and 2,090.50

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Solution

The fourth proportional to 6,771.77, 10,153.94 and 2,090.50 is: 3,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.77 : 10,153.94 = 2,090.50 : x
  2. Step 2: Convert to fraction form
    6,771.77/10,153.94 = 2,090.50/x
  3. Step 3: Cross multiply
    6,771.77x = 10,153.94 × 2,090.50
  4. Step 4: Simplify right side
    6,771.77x = 21,226,811.57
  5. Step 5: Solve for x
    x = 21,226,811.57/6,771.77
  6. Step 6: Final answer
    x = 3,134.60

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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.