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Finding the Fourth Proportional to 16,027.70, 24,043.64 and 6,165.74

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Solution

The fourth proportional to 16,027.70, 24,043.64 and 6,165.74 is: 9,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.70 : 24,043.64 = 6,165.74 : x
  2. Step 2: Convert to fraction form
    16,027.70/24,043.64 = 6,165.74/x
  3. Step 3: Cross multiply
    16,027.70x = 24,043.64 × 6,165.74
  4. Step 4: Simplify right side
    16,027.70x = 148,246,862.17
  5. Step 5: Solve for x
    x = 148,246,862.17/16,027.70
  6. Step 6: Final answer
    x = 9,249.42

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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.