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Finding the Fourth Proportional to 13,906.10, 19,190.48 and 7,618.47

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Solution

The fourth proportional to 13,906.10, 19,190.48 and 7,618.47 is: 10,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.10 : 19,190.48 = 7,618.47 : x
  2. Step 2: Convert to fraction form
    13,906.10/19,190.48 = 7,618.47/x
  3. Step 3: Cross multiply
    13,906.10x = 19,190.48 × 7,618.47
  4. Step 4: Simplify right side
    13,906.10x = 146,202,058.07
  5. Step 5: Solve for x
    x = 146,202,058.07/13,906.10
  6. Step 6: Final answer
    x = 10,513.52

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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.