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Finding the Fourth Proportional to 8,241.62, 12,351.48 and 7,140.86

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Solution

The fourth proportional to 8,241.62, 12,351.48 and 7,140.86 is: 10,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.62 : 12,351.48 = 7,140.86 : x
  2. Step 2: Convert to fraction form
    8,241.62/12,351.48 = 7,140.86/x
  3. Step 3: Cross multiply
    8,241.62x = 12,351.48 × 7,140.86
  4. Step 4: Simplify right side
    8,241.62x = 88,200,189.47
  5. Step 5: Solve for x
    x = 88,200,189.47/8,241.62
  6. Step 6: Final answer
    x = 10,701.80

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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.