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Finding the Fourth Proportional to 8,676.84, 13,013.90 and 2,832.16

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Solution

The fourth proportional to 8,676.84, 13,013.90 and 2,832.16 is: 4,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.84 : 13,013.90 = 2,832.16 : x
  2. Step 2: Convert to fraction form
    8,676.84/13,013.90 = 2,832.16/x
  3. Step 3: Cross multiply
    8,676.84x = 13,013.90 × 2,832.16
  4. Step 4: Simplify right side
    8,676.84x = 36,857,447.02
  5. Step 5: Solve for x
    x = 36,857,447.02/8,676.84
  6. Step 6: Final answer
    x = 4,247.80

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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.