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Finding the Fourth Proportional to 12,961.41, 19,412.94 and 9,083.13

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Solution

The fourth proportional to 12,961.41, 19,412.94 and 9,083.13 is: 13,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.41 : 19,412.94 = 9,083.13 : x
  2. Step 2: Convert to fraction form
    12,961.41/19,412.94 = 9,083.13/x
  3. Step 3: Cross multiply
    12,961.41x = 19,412.94 × 9,083.13
  4. Step 4: Simplify right side
    12,961.41x = 176,330,257.70
  5. Step 5: Solve for x
    x = 176,330,257.70/12,961.41
  6. Step 6: Final answer
    x = 13,604.25

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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.