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Finding the Fourth Proportional to 3,775.54, 5,662.22 and 1,466.50

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Solution

The fourth proportional to 3,775.54, 5,662.22 and 1,466.50 is: 2,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.54 : 5,662.22 = 1,466.50 : x
  2. Step 2: Convert to fraction form
    3,775.54/5,662.22 = 1,466.50/x
  3. Step 3: Cross multiply
    3,775.54x = 5,662.22 × 1,466.50
  4. Step 4: Simplify right side
    3,775.54x = 8,303,645.63
  5. Step 5: Solve for x
    x = 8,303,645.63/3,775.54
  6. Step 6: Final answer
    x = 2,199.33

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Half scale
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Double scale
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Similar ratio
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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.