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Finding the Fourth Proportional to 6,514.58, 9,774.63 and 3,227.73

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Solution

The fourth proportional to 6,514.58, 9,774.63 and 3,227.73 is: 4,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.58 : 9,774.63 = 3,227.73 : x
  2. Step 2: Convert to fraction form
    6,514.58/9,774.63 = 3,227.73/x
  3. Step 3: Cross multiply
    6,514.58x = 9,774.63 × 3,227.73
  4. Step 4: Simplify right side
    6,514.58x = 31,549,866.49
  5. Step 5: Solve for x
    x = 31,549,866.49/6,514.58
  6. Step 6: Final answer
    x = 4,842.97

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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.