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Finding the Fourth Proportional to 13,022.56, 17,971.08 and 7,433.56

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Solution

The fourth proportional to 13,022.56, 17,971.08 and 7,433.56 is: 10,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.56 : 17,971.08 = 7,433.56 : x
  2. Step 2: Convert to fraction form
    13,022.56/17,971.08 = 7,433.56/x
  3. Step 3: Cross multiply
    13,022.56x = 17,971.08 × 7,433.56
  4. Step 4: Simplify right side
    13,022.56x = 133,589,101.44
  5. Step 5: Solve for x
    x = 133,589,101.44/13,022.56
  6. Step 6: Final answer
    x = 10,258.28

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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.