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Finding the Fourth Proportional to 16,563.80, 24,846.90 and 9,975.80

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Solution

The fourth proportional to 16,563.80, 24,846.90 and 9,975.80 is: 14,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.80 : 24,846.90 = 9,975.80 : x
  2. Step 2: Convert to fraction form
    16,563.80/24,846.90 = 9,975.80/x
  3. Step 3: Cross multiply
    16,563.80x = 24,846.90 × 9,975.80
  4. Step 4: Simplify right side
    16,563.80x = 247,867,705.02
  5. Step 5: Solve for x
    x = 247,867,705.02/16,563.80
  6. Step 6: Final answer
    x = 14,964.42

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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.