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Finding the Fourth Proportional to 8,197.88, 12,297.35 and 3,580.88

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Solution

The fourth proportional to 8,197.88, 12,297.35 and 3,580.88 is: 5,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.88 : 12,297.35 = 3,580.88 : x
  2. Step 2: Convert to fraction form
    8,197.88/12,297.35 = 3,580.88/x
  3. Step 3: Cross multiply
    8,197.88x = 12,297.35 × 3,580.88
  4. Step 4: Simplify right side
    8,197.88x = 44,035,282.13
  5. Step 5: Solve for x
    x = 44,035,282.13/8,197.88
  6. Step 6: Final answer
    x = 5,371.55

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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.