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Finding the Fourth Proportional to 12,394.09, 18,594.06 and 4,074.13

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Solution

The fourth proportional to 12,394.09, 18,594.06 and 4,074.13 is: 6,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.09 : 18,594.06 = 4,074.13 : x
  2. Step 2: Convert to fraction form
    12,394.09/18,594.06 = 4,074.13/x
  3. Step 3: Cross multiply
    12,394.09x = 18,594.06 × 4,074.13
  4. Step 4: Simplify right side
    12,394.09x = 75,754,504.33
  5. Step 5: Solve for x
    x = 75,754,504.33/12,394.09
  6. Step 6: Final answer
    x = 6,112.15

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1.5x scale

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.