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Finding the Fourth Proportional to 4,861.62, 7,292.97 and 4,196.88

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Solution

The fourth proportional to 4,861.62, 7,292.97 and 4,196.88 is: 6,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.62 : 7,292.97 = 4,196.88 : x
  2. Step 2: Convert to fraction form
    4,861.62/7,292.97 = 4,196.88/x
  3. Step 3: Cross multiply
    4,861.62x = 7,292.97 × 4,196.88
  4. Step 4: Simplify right side
    4,861.62x = 30,607,719.93
  5. Step 5: Solve for x
    x = 30,607,719.93/4,861.62
  6. Step 6: Final answer
    x = 6,295.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.