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Finding the Fourth Proportional to 5,992.38, 8,274.42 and 4,407.84

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Solution

The fourth proportional to 5,992.38, 8,274.42 and 4,407.84 is: 6,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.38 : 8,274.42 = 4,407.84 : x
  2. Step 2: Convert to fraction form
    5,992.38/8,274.42 = 4,407.84/x
  3. Step 3: Cross multiply
    5,992.38x = 8,274.42 × 4,407.84
  4. Step 4: Simplify right side
    5,992.38x = 36,472,319.45
  5. Step 5: Solve for x
    x = 36,472,319.45/5,992.38
  6. Step 6: Final answer
    x = 6,086.45

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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.