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Finding the Fourth Proportional to 3,142.44, 4,714.89 and 951.39

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Solution

The fourth proportional to 3,142.44, 4,714.89 and 951.39 is: 1,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.44 : 4,714.89 = 951.39 : x
  2. Step 2: Convert to fraction form
    3,142.44/4,714.89 = 951.39/x
  3. Step 3: Cross multiply
    3,142.44x = 4,714.89 × 951.39
  4. Step 4: Simplify right side
    3,142.44x = 4,485,699.20
  5. Step 5: Solve for x
    x = 4,485,699.20/3,142.44
  6. Step 6: Final answer
    x = 1,427.46

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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.