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Finding the Fourth Proportional to 8,241.60, 12,364.20 and 4,083.60

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Solution

The fourth proportional to 8,241.60, 12,364.20 and 4,083.60 is: 6,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.60 : 12,364.20 = 4,083.60 : x
  2. Step 2: Convert to fraction form
    8,241.60/12,364.20 = 4,083.60/x
  3. Step 3: Cross multiply
    8,241.60x = 12,364.20 × 4,083.60
  4. Step 4: Simplify right side
    8,241.60x = 50,490,447.12
  5. Step 5: Solve for x
    x = 50,490,447.12/8,241.60
  6. Step 6: Final answer
    x = 6,126.29

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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.