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Finding the Fourth Proportional to 9,179.32, 13,783.02 and 8,092.84

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Solution

The fourth proportional to 9,179.32, 13,783.02 and 8,092.84 is: 12,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.32 : 13,783.02 = 8,092.84 : x
  2. Step 2: Convert to fraction form
    9,179.32/13,783.02 = 8,092.84/x
  3. Step 3: Cross multiply
    9,179.32x = 13,783.02 × 8,092.84
  4. Step 4: Simplify right side
    9,179.32x = 111,543,775.58
  5. Step 5: Solve for x
    x = 111,543,775.58/9,179.32
  6. Step 6: Final answer
    x = 12,151.64

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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.