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Finding the Fourth Proportional to 11,668.74, 16,102.86 and 6,363.57

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Solution

The fourth proportional to 11,668.74, 16,102.86 and 6,363.57 is: 8,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.74 : 16,102.86 = 6,363.57 : x
  2. Step 2: Convert to fraction form
    11,668.74/16,102.86 = 6,363.57/x
  3. Step 3: Cross multiply
    11,668.74x = 16,102.86 × 6,363.57
  4. Step 4: Simplify right side
    11,668.74x = 102,471,676.81
  5. Step 5: Solve for x
    x = 102,471,676.81/11,668.74
  6. Step 6: Final answer
    x = 8,781.73

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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.