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Finding the Fourth Proportional to 11,668.03, 16,102.02 and 6,362.80

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Solution

The fourth proportional to 11,668.03, 16,102.02 and 6,362.80 is: 8,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.03 : 16,102.02 = 6,362.80 : x
  2. Step 2: Convert to fraction form
    11,668.03/16,102.02 = 6,362.80/x
  3. Step 3: Cross multiply
    11,668.03x = 16,102.02 × 6,362.80
  4. Step 4: Simplify right side
    11,668.03x = 102,453,932.86
  5. Step 5: Solve for x
    x = 102,453,932.86/11,668.03
  6. Step 6: Final answer
    x = 8,780.74

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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.