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Finding the Fourth Proportional to 10,514.78, 14,512.07 and 6,323.03

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Solution

The fourth proportional to 10,514.78, 14,512.07 and 6,323.03 is: 8,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.78 : 14,512.07 = 6,323.03 : x
  2. Step 2: Convert to fraction form
    10,514.78/14,512.07 = 6,323.03/x
  3. Step 3: Cross multiply
    10,514.78x = 14,512.07 × 6,323.03
  4. Step 4: Simplify right side
    10,514.78x = 91,760,222.36
  5. Step 5: Solve for x
    x = 91,760,222.36/10,514.78
  6. Step 6: Final answer
    x = 8,726.78

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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.