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Finding the Fourth Proportional to 5,873.84, 8,096.70 and 4,451.84

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Solution

The fourth proportional to 5,873.84, 8,096.70 and 4,451.84 is: 6,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.84 : 8,096.70 = 4,451.84 : x
  2. Step 2: Convert to fraction form
    5,873.84/8,096.70 = 4,451.84/x
  3. Step 3: Cross multiply
    5,873.84x = 8,096.70 × 4,451.84
  4. Step 4: Simplify right side
    5,873.84x = 36,045,212.93
  5. Step 5: Solve for x
    x = 36,045,212.93/5,873.84
  6. Step 6: Final answer
    x = 6,136.57

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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.