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Finding the Fourth Proportional to 4,842.34, 6,635.89 and 4,375.78

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Solution

The fourth proportional to 4,842.34, 6,635.89 and 4,375.78 is: 5,996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.34 : 6,635.89 = 4,375.78 : x
  2. Step 2: Convert to fraction form
    4,842.34/6,635.89 = 4,375.78/x
  3. Step 3: Cross multiply
    4,842.34x = 6,635.89 × 4,375.78
  4. Step 4: Simplify right side
    4,842.34x = 29,037,172.87
  5. Step 5: Solve for x
    x = 29,037,172.87/4,842.34
  6. Step 6: Final answer
    x = 5,996.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.