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Finding the Fourth Proportional to 12,409.57, 17,119.51 and 7,370.97

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Solution

The fourth proportional to 12,409.57, 17,119.51 and 7,370.97 is: 10,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.57 : 17,119.51 = 7,370.97 : x
  2. Step 2: Convert to fraction form
    12,409.57/17,119.51 = 7,370.97/x
  3. Step 3: Cross multiply
    12,409.57x = 17,119.51 × 7,370.97
  4. Step 4: Simplify right side
    12,409.57x = 126,187,394.62
  5. Step 5: Solve for x
    x = 126,187,394.62/12,409.57
  6. Step 6: Final answer
    x = 10,168.55

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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.