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Finding the Fourth Proportional to 8,175.76, 12,262.96 and 2,627.64

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Solution

The fourth proportional to 8,175.76, 12,262.96 and 2,627.64 is: 3,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.76 : 12,262.96 = 2,627.64 : x
  2. Step 2: Convert to fraction form
    8,175.76/12,262.96 = 2,627.64/x
  3. Step 3: Cross multiply
    8,175.76x = 12,262.96 × 2,627.64
  4. Step 4: Simplify right side
    8,175.76x = 32,222,644.21
  5. Step 5: Solve for x
    x = 32,222,644.21/8,175.76
  6. Step 6: Final answer
    x = 3,941.24

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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.