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Finding the Fourth Proportional to 6,365.44, 8,773.44 and 4,477.60

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Solution

The fourth proportional to 6,365.44, 8,773.44 and 4,477.60 is: 6,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.44 : 8,773.44 = 4,477.60 : x
  2. Step 2: Convert to fraction form
    6,365.44/8,773.44 = 4,477.60/x
  3. Step 3: Cross multiply
    6,365.44x = 8,773.44 × 4,477.60
  4. Step 4: Simplify right side
    6,365.44x = 39,283,954.94
  5. Step 5: Solve for x
    x = 39,283,954.94/6,365.44
  6. Step 6: Final answer
    x = 6,171.44

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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.