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Finding the Fourth Proportional to 4,451.71, 6,676.26 and 1,676.38

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Solution

The fourth proportional to 4,451.71, 6,676.26 and 1,676.38 is: 2,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.71 : 6,676.26 = 1,676.38 : x
  2. Step 2: Convert to fraction form
    4,451.71/6,676.26 = 1,676.38/x
  3. Step 3: Cross multiply
    4,451.71x = 6,676.26 × 1,676.38
  4. Step 4: Simplify right side
    4,451.71x = 11,191,948.74
  5. Step 5: Solve for x
    x = 11,191,948.74/4,451.71
  6. Step 6: Final answer
    x = 2,514.08

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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.