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Finding the Fourth Proportional to 6,287.35, 8,676.50 and 3,454.76

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Solution

The fourth proportional to 6,287.35, 8,676.50 and 3,454.76 is: 4,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.35 : 8,676.50 = 3,454.76 : x
  2. Step 2: Convert to fraction form
    6,287.35/8,676.50 = 3,454.76/x
  3. Step 3: Cross multiply
    6,287.35x = 8,676.50 × 3,454.76
  4. Step 4: Simplify right side
    6,287.35x = 29,975,181.76
  5. Step 5: Solve for x
    x = 29,975,181.76/6,287.35
  6. Step 6: Final answer
    x = 4,767.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.