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Finding the Fourth Proportional to 3,676.63, 5,514.76 and 903.14

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Solution

The fourth proportional to 3,676.63, 5,514.76 and 903.14 is: 1,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.63 : 5,514.76 = 903.14 : x
  2. Step 2: Convert to fraction form
    3,676.63/5,514.76 = 903.14/x
  3. Step 3: Cross multiply
    3,676.63x = 5,514.76 × 903.14
  4. Step 4: Simplify right side
    3,676.63x = 4,980,600.35
  5. Step 5: Solve for x
    x = 4,980,600.35/3,676.63
  6. Step 6: Final answer
    x = 1,354.66

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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.