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Finding the Fourth Proportional to 5,951.58, 8,214 and 3,433.84

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Solution

The fourth proportional to 5,951.58, 8,214 and 3,433.84 is: 4,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.58 : 8,214 = 3,433.84 : x
  2. Step 2: Convert to fraction form
    5,951.58/8,214 = 3,433.84/x
  3. Step 3: Cross multiply
    5,951.58x = 8,214 × 3,433.84
  4. Step 4: Simplify right side
    5,951.58x = 28,205,561.76
  5. Step 5: Solve for x
    x = 28,205,561.76/5,951.58
  6. Step 6: Final answer
    x = 4,739.17

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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.