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Finding the Fourth Proportional to 6,348.10, 9,524.09 and 2,841.05

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Solution

The fourth proportional to 6,348.10, 9,524.09 and 2,841.05 is: 4,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.10 : 9,524.09 = 2,841.05 : x
  2. Step 2: Convert to fraction form
    6,348.10/9,524.09 = 2,841.05/x
  3. Step 3: Cross multiply
    6,348.10x = 9,524.09 × 2,841.05
  4. Step 4: Simplify right side
    6,348.10x = 27,058,401.69
  5. Step 5: Solve for x
    x = 27,058,401.69/6,348.10
  6. Step 6: Final answer
    x = 4,262.44

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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.