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Finding the Fourth Proportional to 9,367.92, 12,924.63 and 6,182.80

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Solution

The fourth proportional to 9,367.92, 12,924.63 and 6,182.80 is: 8,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.92 : 12,924.63 = 6,182.80 : x
  2. Step 2: Convert to fraction form
    9,367.92/12,924.63 = 6,182.80/x
  3. Step 3: Cross multiply
    9,367.92x = 12,924.63 × 6,182.80
  4. Step 4: Simplify right side
    9,367.92x = 79,910,370.05
  5. Step 5: Solve for x
    x = 79,910,370.05/9,367.92
  6. Step 6: Final answer
    x = 8,530.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.