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Finding the Fourth Proportional to 16,651.23, 24,977.18 and 6,783.67

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Solution

The fourth proportional to 16,651.23, 24,977.18 and 6,783.67 is: 10,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.23 : 24,977.18 = 6,783.67 : x
  2. Step 2: Convert to fraction form
    16,651.23/24,977.18 = 6,783.67/x
  3. Step 3: Cross multiply
    16,651.23x = 24,977.18 × 6,783.67
  4. Step 4: Simplify right side
    16,651.23x = 169,436,946.65
  5. Step 5: Solve for x
    x = 169,436,946.65/16,651.23
  6. Step 6: Final answer
    x = 10,175.64

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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.