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Finding the Fourth Proportional to 4,757.96, 7,137.94 and 1,638.25

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Solution

The fourth proportional to 4,757.96, 7,137.94 and 1,638.25 is: 2,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.96 : 7,137.94 = 1,638.25 : x
  2. Step 2: Convert to fraction form
    4,757.96/7,137.94 = 1,638.25/x
  3. Step 3: Cross multiply
    4,757.96x = 7,137.94 × 1,638.25
  4. Step 4: Simplify right side
    4,757.96x = 11,693,730.21
  5. Step 5: Solve for x
    x = 11,693,730.21/4,757.96
  6. Step 6: Final answer
    x = 2,457.72

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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.