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Finding the Fourth Proportional to 10,514.56, 14,512.62 and 6,322

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Solution

The fourth proportional to 10,514.56, 14,512.62 and 6,322 is: 8,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.56 : 14,512.62 = 6,322 : x
  2. Step 2: Convert to fraction form
    10,514.56/14,512.62 = 6,322/x
  3. Step 3: Cross multiply
    10,514.56x = 14,512.62 × 6,322
  4. Step 4: Simplify right side
    10,514.56x = 91,748,783.64
  5. Step 5: Solve for x
    x = 91,748,783.64/10,514.56
  6. Step 6: Final answer
    x = 8,725.88

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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.