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Finding the Fourth Proportional to 8,187.64, 12,282.68 and 2,922.24

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Solution

The fourth proportional to 8,187.64, 12,282.68 and 2,922.24 is: 4,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.64 : 12,282.68 = 2,922.24 : x
  2. Step 2: Convert to fraction form
    8,187.64/12,282.68 = 2,922.24/x
  3. Step 3: Cross multiply
    8,187.64x = 12,282.68 × 2,922.24
  4. Step 4: Simplify right side
    8,187.64x = 35,892,938.80
  5. Step 5: Solve for x
    x = 35,892,938.80/8,187.64
  6. Step 6: Final answer
    x = 4,383.80

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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.