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Finding the Fourth Proportional to 4,861.96, 7,255 and 4,338.36

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Solution

The fourth proportional to 4,861.96, 7,255 and 4,338.36 is: 6,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.96 : 7,255 = 4,338.36 : x
  2. Step 2: Convert to fraction form
    4,861.96/7,255 = 4,338.36/x
  3. Step 3: Cross multiply
    4,861.96x = 7,255 × 4,338.36
  4. Step 4: Simplify right side
    4,861.96x = 31,474,801.80
  5. Step 5: Solve for x
    x = 31,474,801.80/4,861.96
  6. Step 6: Final answer
    x = 6,473.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.