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Finding the Fourth Proportional to 16,382.50, 24,573.75 and 5,438.50

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Solution

The fourth proportional to 16,382.50, 24,573.75 and 5,438.50 is: 8,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.50 : 24,573.75 = 5,438.50 : x
  2. Step 2: Convert to fraction form
    16,382.50/24,573.75 = 5,438.50/x
  3. Step 3: Cross multiply
    16,382.50x = 24,573.75 × 5,438.50
  4. Step 4: Simplify right side
    16,382.50x = 133,644,339.38
  5. Step 5: Solve for x
    x = 133,644,339.38/16,382.50
  6. Step 6: Final answer
    x = 8,157.75

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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.