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Finding the Fourth Proportional to 3,460.62, 4,775.86 and 3,227.34

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Solution

The fourth proportional to 3,460.62, 4,775.86 and 3,227.34 is: 4,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.62 : 4,775.86 = 3,227.34 : x
  2. Step 2: Convert to fraction form
    3,460.62/4,775.86 = 3,227.34/x
  3. Step 3: Cross multiply
    3,460.62x = 4,775.86 × 3,227.34
  4. Step 4: Simplify right side
    3,460.62x = 15,413,324.01
  5. Step 5: Solve for x
    x = 15,413,324.01/3,460.62
  6. Step 6: Final answer
    x = 4,453.92

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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.