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Finding the Fourth Proportional to 14,954.44, 20,632.98 and 9,649.48

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Solution

The fourth proportional to 14,954.44, 20,632.98 and 9,649.48 is: 13,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.44 : 20,632.98 = 9,649.48 : x
  2. Step 2: Convert to fraction form
    14,954.44/20,632.98 = 9,649.48/x
  3. Step 3: Cross multiply
    14,954.44x = 20,632.98 × 9,649.48
  4. Step 4: Simplify right side
    14,954.44x = 199,097,527.85
  5. Step 5: Solve for x
    x = 199,097,527.85/14,954.44
  6. Step 6: Final answer
    x = 13,313.61

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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.