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Finding the Fourth Proportional to 14,682.89, 22,024.14 and 3,589.68

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Solution

The fourth proportional to 14,682.89, 22,024.14 and 3,589.68 is: 5,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.89 : 22,024.14 = 3,589.68 : x
  2. Step 2: Convert to fraction form
    14,682.89/22,024.14 = 3,589.68/x
  3. Step 3: Cross multiply
    14,682.89x = 22,024.14 × 3,589.68
  4. Step 4: Simplify right side
    14,682.89x = 79,059,504.75
  5. Step 5: Solve for x
    x = 79,059,504.75/14,682.89
  6. Step 6: Final answer
    x = 5,384.46

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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.