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Finding the Fourth Proportional to 13,422.94, 18,522.86 and 7,454.46

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Solution

The fourth proportional to 13,422.94, 18,522.86 and 7,454.46 is: 10,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.94 : 18,522.86 = 7,454.46 : x
  2. Step 2: Convert to fraction form
    13,422.94/18,522.86 = 7,454.46/x
  3. Step 3: Cross multiply
    13,422.94x = 18,522.86 × 7,454.46
  4. Step 4: Simplify right side
    13,422.94x = 138,077,918.96
  5. Step 5: Solve for x
    x = 138,077,918.96/13,422.94
  6. Step 6: Final answer
    x = 10,286.71

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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.