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Finding the Fourth Proportional to 11,668.59, 16,102.62 and 6,363.69

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Solution

The fourth proportional to 11,668.59, 16,102.62 and 6,363.69 is: 8,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.59 : 16,102.62 = 6,363.69 : x
  2. Step 2: Convert to fraction form
    11,668.59/16,102.62 = 6,363.69/x
  3. Step 3: Cross multiply
    11,668.59x = 16,102.62 × 6,363.69
  4. Step 4: Simplify right side
    11,668.59x = 102,472,081.87
  5. Step 5: Solve for x
    x = 102,472,081.87/11,668.59
  6. Step 6: Final answer
    x = 8,781.87

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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.