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Finding the Fourth Proportional to 16,489.63, 24,734.44 and 4,177.63

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Solution

The fourth proportional to 16,489.63, 24,734.44 and 4,177.63 is: 6,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.63 : 24,734.44 = 4,177.63 : x
  2. Step 2: Convert to fraction form
    16,489.63/24,734.44 = 4,177.63/x
  3. Step 3: Cross multiply
    16,489.63x = 24,734.44 × 4,177.63
  4. Step 4: Simplify right side
    16,489.63x = 103,331,214.91
  5. Step 5: Solve for x
    x = 103,331,214.91/16,489.63
  6. Step 6: Final answer
    x = 6,266.44

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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.