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Finding the Fourth Proportional to 6,461.35, 9,667.82 and 3,819.13

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Solution

The fourth proportional to 6,461.35, 9,667.82 and 3,819.13 is: 5,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.35 : 9,667.82 = 3,819.13 : x
  2. Step 2: Convert to fraction form
    6,461.35/9,667.82 = 3,819.13/x
  3. Step 3: Cross multiply
    6,461.35x = 9,667.82 × 3,819.13
  4. Step 4: Simplify right side
    6,461.35x = 36,922,661.40
  5. Step 5: Solve for x
    x = 36,922,661.40/6,461.35
  6. Step 6: Final answer
    x = 5,714.39

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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.