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Finding the Fourth Proportional to 6,100.65, 9,144.83 and 2,405.50

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Solution

The fourth proportional to 6,100.65, 9,144.83 and 2,405.50 is: 3,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.65 : 9,144.83 = 2,405.50 : x
  2. Step 2: Convert to fraction form
    6,100.65/9,144.83 = 2,405.50/x
  3. Step 3: Cross multiply
    6,100.65x = 9,144.83 × 2,405.50
  4. Step 4: Simplify right side
    6,100.65x = 21,997,871.72
  5. Step 5: Solve for x
    x = 21,997,871.72/6,100.65
  6. Step 6: Final answer
    x = 3,605.82

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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.