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Finding the Fourth Proportional to 13,422.96, 18,523.64 and 7,454.48

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Solution

The fourth proportional to 13,422.96, 18,523.64 and 7,454.48 is: 10,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.96 : 18,523.64 = 7,454.48 : x
  2. Step 2: Convert to fraction form
    13,422.96/18,523.64 = 7,454.48/x
  3. Step 3: Cross multiply
    13,422.96x = 18,523.64 × 7,454.48
  4. Step 4: Simplify right side
    13,422.96x = 138,084,103.91
  5. Step 5: Solve for x
    x = 138,084,103.91/13,422.96
  6. Step 6: Final answer
    x = 10,287.16

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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.