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Finding the Fourth Proportional to 8,384.68, 12,574.14 and 3,192.04

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Solution

The fourth proportional to 8,384.68, 12,574.14 and 3,192.04 is: 4,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.68 : 12,574.14 = 3,192.04 : x
  2. Step 2: Convert to fraction form
    8,384.68/12,574.14 = 3,192.04/x
  3. Step 3: Cross multiply
    8,384.68x = 12,574.14 × 3,192.04
  4. Step 4: Simplify right side
    8,384.68x = 40,137,157.85
  5. Step 5: Solve for x
    x = 40,137,157.85/8,384.68
  6. Step 6: Final answer
    x = 4,786.96

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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.