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Finding the Fourth Proportional to 6,226.50, 9,341.23 and 2,122.50

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Solution

The fourth proportional to 6,226.50, 9,341.23 and 2,122.50 is: 3,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.50 : 9,341.23 = 2,122.50 : x
  2. Step 2: Convert to fraction form
    6,226.50/9,341.23 = 2,122.50/x
  3. Step 3: Cross multiply
    6,226.50x = 9,341.23 × 2,122.50
  4. Step 4: Simplify right side
    6,226.50x = 19,826,760.68
  5. Step 5: Solve for x
    x = 19,826,760.68/6,226.50
  6. Step 6: Final answer
    x = 3,184.25

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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.