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Finding the Fourth Proportional to 13,642.72, 18,825.44 and 7,674.27

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Solution

The fourth proportional to 13,642.72, 18,825.44 and 7,674.27 is: 10,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.72 : 18,825.44 = 7,674.27 : x
  2. Step 2: Convert to fraction form
    13,642.72/18,825.44 = 7,674.27/x
  3. Step 3: Cross multiply
    13,642.72x = 18,825.44 × 7,674.27
  4. Step 4: Simplify right side
    13,642.72x = 144,471,471.06
  5. Step 5: Solve for x
    x = 144,471,471.06/13,642.72
  6. Step 6: Final answer
    x = 10,589.64

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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.