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Finding the Fourth Proportional to 8,144.84, 12,209.64 and 2,949.44

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Solution

The fourth proportional to 8,144.84, 12,209.64 and 2,949.44 is: 4,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.84 : 12,209.64 = 2,949.44 : x
  2. Step 2: Convert to fraction form
    8,144.84/12,209.64 = 2,949.44/x
  3. Step 3: Cross multiply
    8,144.84x = 12,209.64 × 2,949.44
  4. Step 4: Simplify right side
    8,144.84x = 36,011,600.60
  5. Step 5: Solve for x
    x = 36,011,600.60/8,144.84
  6. Step 6: Final answer
    x = 4,421.40

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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.