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Finding the Fourth Proportional to 4,842.46, 7,249.02 and 4,380.44

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Solution

The fourth proportional to 4,842.46, 7,249.02 and 4,380.44 is: 6,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.46 : 7,249.02 = 4,380.44 : x
  2. Step 2: Convert to fraction form
    4,842.46/7,249.02 = 4,380.44/x
  3. Step 3: Cross multiply
    4,842.46x = 7,249.02 × 4,380.44
  4. Step 4: Simplify right side
    4,842.46x = 31,753,897.17
  5. Step 5: Solve for x
    x = 31,753,897.17/4,842.46
  6. Step 6: Final answer
    x = 6,557.39

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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.