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Finding the Fourth Proportional to 12,057.52, 16,608.48 and 8,514.48

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Solution

The fourth proportional to 12,057.52, 16,608.48 and 8,514.48 is: 11,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.52 : 16,608.48 = 8,514.48 : x
  2. Step 2: Convert to fraction form
    12,057.52/16,608.48 = 8,514.48/x
  3. Step 3: Cross multiply
    12,057.52x = 16,608.48 × 8,514.48
  4. Step 4: Simplify right side
    12,057.52x = 141,412,570.79
  5. Step 5: Solve for x
    x = 141,412,570.79/12,057.52
  6. Step 6: Final answer
    x = 11,728.16

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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.