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Finding the Fourth Proportional to 4,676.48, 7,014.75 and 1,213.73

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Solution

The fourth proportional to 4,676.48, 7,014.75 and 1,213.73 is: 1,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.48 : 7,014.75 = 1,213.73 : x
  2. Step 2: Convert to fraction form
    4,676.48/7,014.75 = 1,213.73/x
  3. Step 3: Cross multiply
    4,676.48x = 7,014.75 × 1,213.73
  4. Step 4: Simplify right side
    4,676.48x = 8,514,045.48
  5. Step 5: Solve for x
    x = 8,514,045.48/4,676.48
  6. Step 6: Final answer
    x = 1,820.61

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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.