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Finding the Fourth Proportional to 8,514.48, 11,757.45 and 8,235.64

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Solution

The fourth proportional to 8,514.48, 11,757.45 and 8,235.64 is: 11,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.48 : 11,757.45 = 8,235.64 : x
  2. Step 2: Convert to fraction form
    8,514.48/11,757.45 = 8,235.64/x
  3. Step 3: Cross multiply
    8,514.48x = 11,757.45 × 8,235.64
  4. Step 4: Simplify right side
    8,514.48x = 96,830,171.10
  5. Step 5: Solve for x
    x = 96,830,171.10/8,514.48
  6. Step 6: Final answer
    x = 11,372.41

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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.