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Finding the Fourth Proportional to 6,075, 8,383.50 and 3,280.50

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Solution

The fourth proportional to 6,075, 8,383.50 and 3,280.50 is: 4,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 8,383.50 = 3,280.50 : x
  2. Step 2: Convert to fraction form
    6,075/8,383.50 = 3,280.50/x
  3. Step 3: Cross multiply
    6,075x = 8,383.50 × 3,280.50
  4. Step 4: Simplify right side
    6,075x = 27,502,071.75
  5. Step 5: Solve for x
    x = 27,502,071.75/6,075
  6. Step 6: Final answer
    x = 4,527.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.