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Finding the Fourth Proportional to 4,942.09, 7,411.92 and 1,654.30

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Solution

The fourth proportional to 4,942.09, 7,411.92 and 1,654.30 is: 2,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.09 : 7,411.92 = 1,654.30 : x
  2. Step 2: Convert to fraction form
    4,942.09/7,411.92 = 1,654.30/x
  3. Step 3: Cross multiply
    4,942.09x = 7,411.92 × 1,654.30
  4. Step 4: Simplify right side
    4,942.09x = 12,261,539.26
  5. Step 5: Solve for x
    x = 12,261,539.26/4,942.09
  6. Step 6: Final answer
    x = 2,481.04

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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.