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Finding the Fourth Proportional to 12,342.46, 17,028.38 and 7,033.54

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Solution

The fourth proportional to 12,342.46, 17,028.38 and 7,033.54 is: 9,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.46 : 17,028.38 = 7,033.54 : x
  2. Step 2: Convert to fraction form
    12,342.46/17,028.38 = 7,033.54/x
  3. Step 3: Cross multiply
    12,342.46x = 17,028.38 × 7,033.54
  4. Step 4: Simplify right side
    12,342.46x = 119,769,791.87
  5. Step 5: Solve for x
    x = 119,769,791.87/12,342.46
  6. Step 6: Final answer
    x = 9,703.88

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1.5x scale

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.