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Finding the Fourth Proportional to 4,278.69, 5,898.69 and 4,185.54

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Solution

The fourth proportional to 4,278.69, 5,898.69 and 4,185.54 is: 5,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.69 : 5,898.69 = 4,185.54 : x
  2. Step 2: Convert to fraction form
    4,278.69/5,898.69 = 4,185.54/x
  3. Step 3: Cross multiply
    4,278.69x = 5,898.69 × 4,185.54
  4. Step 4: Simplify right side
    4,278.69x = 24,689,202.94
  5. Step 5: Solve for x
    x = 24,689,202.94/4,278.69
  6. Step 6: Final answer
    x = 5,770.27

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Half scale
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Double scale
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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.