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Finding the Fourth Proportional to 13,982.41, 19,296.13 and 7,609.41

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Solution

The fourth proportional to 13,982.41, 19,296.13 and 7,609.41 is: 10,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.41 : 19,296.13 = 7,609.41 : x
  2. Step 2: Convert to fraction form
    13,982.41/19,296.13 = 7,609.41/x
  3. Step 3: Cross multiply
    13,982.41x = 19,296.13 × 7,609.41
  4. Step 4: Simplify right side
    13,982.41x = 146,832,138.43
  5. Step 5: Solve for x
    x = 146,832,138.43/13,982.41
  6. Step 6: Final answer
    x = 10,501.21

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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.