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Finding the Fourth Proportional to 11,754.30, 17,613.22 and 6,811.68

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Solution

The fourth proportional to 11,754.30, 17,613.22 and 6,811.68 is: 10,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.30 : 17,613.22 = 6,811.68 : x
  2. Step 2: Convert to fraction form
    11,754.30/17,613.22 = 6,811.68/x
  3. Step 3: Cross multiply
    11,754.30x = 17,613.22 × 6,811.68
  4. Step 4: Simplify right side
    11,754.30x = 119,975,618.41
  5. Step 5: Solve for x
    x = 119,975,618.41/11,754.30
  6. Step 6: Final answer
    x = 10,206.96

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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.