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Finding the Fourth Proportional to 8,502.14, 11,733.17 and 4,673.73

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Solution

The fourth proportional to 8,502.14, 11,733.17 and 4,673.73 is: 6,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.14 : 11,733.17 = 4,673.73 : x
  2. Step 2: Convert to fraction form
    8,502.14/11,733.17 = 4,673.73/x
  3. Step 3: Cross multiply
    8,502.14x = 11,733.17 × 4,673.73
  4. Step 4: Simplify right side
    8,502.14x = 54,837,636.31
  5. Step 5: Solve for x
    x = 54,837,636.31/8,502.14
  6. Step 6: Final answer
    x = 6,449.86

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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.