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Finding the Fourth Proportional to 8,514.54, 11,756.07 and 6,394.77

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Solution

The fourth proportional to 8,514.54, 11,756.07 and 6,394.77 is: 8,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.54 : 11,756.07 = 6,394.77 : x
  2. Step 2: Convert to fraction form
    8,514.54/11,756.07 = 6,394.77/x
  3. Step 3: Cross multiply
    8,514.54x = 11,756.07 × 6,394.77
  4. Step 4: Simplify right side
    8,514.54x = 75,177,363.75
  5. Step 5: Solve for x
    x = 75,177,363.75/8,514.54
  6. Step 6: Final answer
    x = 8,829.29

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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.