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Finding the Fourth Proportional to 18,416.63, 27,633.14 and 9,649.49

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Solution

The fourth proportional to 18,416.63, 27,633.14 and 9,649.49 is: 14,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416.63 : 27,633.14 = 9,649.49 : x
  2. Step 2: Convert to fraction form
    18,416.63/27,633.14 = 9,649.49/x
  3. Step 3: Cross multiply
    18,416.63x = 27,633.14 × 9,649.49
  4. Step 4: Simplify right side
    18,416.63x = 266,645,659.85
  5. Step 5: Solve for x
    x = 266,645,659.85/18,416.63
  6. Step 6: Final answer
    x = 14,478.53

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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.