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Finding the Fourth Proportional to 16,383.75, 24,575.63 and 4,071.75

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Solution

The fourth proportional to 16,383.75, 24,575.63 and 4,071.75 is: 6,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.75 : 24,575.63 = 4,071.75 : x
  2. Step 2: Convert to fraction form
    16,383.75/24,575.63 = 4,071.75/x
  3. Step 3: Cross multiply
    16,383.75x = 24,575.63 × 4,071.75
  4. Step 4: Simplify right side
    16,383.75x = 100,065,821.45
  5. Step 5: Solve for x
    x = 100,065,821.45/16,383.75
  6. Step 6: Final answer
    x = 6,107.63

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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.