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Finding the Fourth Proportional to 13,422.72, 18,523.26 and 7,454.64

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Solution

The fourth proportional to 13,422.72, 18,523.26 and 7,454.64 is: 10,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.72 : 18,523.26 = 7,454.64 : x
  2. Step 2: Convert to fraction form
    13,422.72/18,523.26 = 7,454.64/x
  3. Step 3: Cross multiply
    13,422.72x = 18,523.26 × 7,454.64
  4. Step 4: Simplify right side
    13,422.72x = 138,084,234.93
  5. Step 5: Solve for x
    x = 138,084,234.93/13,422.72
  6. Step 6: Final answer
    x = 10,287.35

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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.