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Finding the Fourth Proportional to 13,224.64, 18,251.16 and 7,257.48

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Solution

The fourth proportional to 13,224.64, 18,251.16 and 7,257.48 is: 10,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.64 : 18,251.16 = 7,257.48 : x
  2. Step 2: Convert to fraction form
    13,224.64/18,251.16 = 7,257.48/x
  3. Step 3: Cross multiply
    13,224.64x = 18,251.16 × 7,257.48
  4. Step 4: Simplify right side
    13,224.64x = 132,457,428.68
  5. Step 5: Solve for x
    x = 132,457,428.68/13,224.64
  6. Step 6: Final answer
    x = 10,015.96

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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.