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Finding the Fourth Proportional to 6,684.90, 10,015.20 and 5,445.60

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Solution

The fourth proportional to 6,684.90, 10,015.20 and 5,445.60 is: 8,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.90 : 10,015.20 = 5,445.60 : x
  2. Step 2: Convert to fraction form
    6,684.90/10,015.20 = 5,445.60/x
  3. Step 3: Cross multiply
    6,684.90x = 10,015.20 × 5,445.60
  4. Step 4: Simplify right side
    6,684.90x = 54,538,773.12
  5. Step 5: Solve for x
    x = 54,538,773.12/6,684.90
  6. Step 6: Final answer
    x = 8,158.50

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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.