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Finding the Fourth Proportional to 5,968.62, 8,212.59 and 5,815.98

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Solution

The fourth proportional to 5,968.62, 8,212.59 and 5,815.98 is: 8,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.62 : 8,212.59 = 5,815.98 : x
  2. Step 2: Convert to fraction form
    5,968.62/8,212.59 = 5,815.98/x
  3. Step 3: Cross multiply
    5,968.62x = 8,212.59 × 5,815.98
  4. Step 4: Simplify right side
    5,968.62x = 47,764,259.19
  5. Step 5: Solve for x
    x = 47,764,259.19/5,968.62
  6. Step 6: Final answer
    x = 8,002.56

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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.