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Finding the Fourth Proportional to 8,384.56, 12,567.93 and 3,992.74

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Solution

The fourth proportional to 8,384.56, 12,567.93 and 3,992.74 is: 5,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.56 : 12,567.93 = 3,992.74 : x
  2. Step 2: Convert to fraction form
    8,384.56/12,567.93 = 3,992.74/x
  3. Step 3: Cross multiply
    8,384.56x = 12,567.93 × 3,992.74
  4. Step 4: Simplify right side
    8,384.56x = 50,180,476.83
  5. Step 5: Solve for x
    x = 50,180,476.83/8,384.56
  6. Step 6: Final answer
    x = 5,984.87

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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.