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Finding the Fourth Proportional to 6,131.50, 9,184.77 and 5,620.63

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Solution

The fourth proportional to 6,131.50, 9,184.77 and 5,620.63 is: 8,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.50 : 9,184.77 = 5,620.63 : x
  2. Step 2: Convert to fraction form
    6,131.50/9,184.77 = 5,620.63/x
  3. Step 3: Cross multiply
    6,131.50x = 9,184.77 × 5,620.63
  4. Step 4: Simplify right side
    6,131.50x = 51,624,191.23
  5. Step 5: Solve for x
    x = 51,624,191.23/6,131.50
  6. Step 6: Final answer
    x = 8,419.50

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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.