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Finding the Fourth Proportional to 6,784.94, 9,363.33 and 3,912.08

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Solution

The fourth proportional to 6,784.94, 9,363.33 and 3,912.08 is: 5,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.94 : 9,363.33 = 3,912.08 : x
  2. Step 2: Convert to fraction form
    6,784.94/9,363.33 = 3,912.08/x
  3. Step 3: Cross multiply
    6,784.94x = 9,363.33 × 3,912.08
  4. Step 4: Simplify right side
    6,784.94x = 36,630,076.47
  5. Step 5: Solve for x
    x = 36,630,076.47/6,784.94
  6. Step 6: Final answer
    x = 5,398.73

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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.