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Finding the Fourth Proportional to 16,478.78, 24,713.06 and 5,947.44

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Solution

The fourth proportional to 16,478.78, 24,713.06 and 5,947.44 is: 8,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.78 : 24,713.06 = 5,947.44 : x
  2. Step 2: Convert to fraction form
    16,478.78/24,713.06 = 5,947.44/x
  3. Step 3: Cross multiply
    16,478.78x = 24,713.06 × 5,947.44
  4. Step 4: Simplify right side
    16,478.78x = 146,979,441.57
  5. Step 5: Solve for x
    x = 146,979,441.57/16,478.78
  6. Step 6: Final answer
    x = 8,919.32

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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.