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Finding the Fourth Proportional to 8,825.96, 13,238.54 and 8,514.52

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Solution

The fourth proportional to 8,825.96, 13,238.54 and 8,514.52 is: 12,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.96 : 13,238.54 = 8,514.52 : x
  2. Step 2: Convert to fraction form
    8,825.96/13,238.54 = 8,514.52/x
  3. Step 3: Cross multiply
    8,825.96x = 13,238.54 × 8,514.52
  4. Step 4: Simplify right side
    8,825.96x = 112,719,769.86
  5. Step 5: Solve for x
    x = 112,719,769.86/8,825.96
  6. Step 6: Final answer
    x = 12,771.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.