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Finding the Fourth Proportional to 6,433.96, 9,650.88 and 2,051.80

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Solution

The fourth proportional to 6,433.96, 9,650.88 and 2,051.80 is: 3,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.96 : 9,650.88 = 2,051.80 : x
  2. Step 2: Convert to fraction form
    6,433.96/9,650.88 = 2,051.80/x
  3. Step 3: Cross multiply
    6,433.96x = 9,650.88 × 2,051.80
  4. Step 4: Simplify right side
    6,433.96x = 19,801,675.58
  5. Step 5: Solve for x
    x = 19,801,675.58/6,433.96
  6. Step 6: Final answer
    x = 3,077.68

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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.