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Finding the Fourth Proportional to 9,764.82, 14,649.48 and 3,191.49

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Solution

The fourth proportional to 9,764.82, 14,649.48 and 3,191.49 is: 4,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.82 : 14,649.48 = 3,191.49 : x
  2. Step 2: Convert to fraction form
    9,764.82/14,649.48 = 3,191.49/x
  3. Step 3: Cross multiply
    9,764.82x = 14,649.48 × 3,191.49
  4. Step 4: Simplify right side
    9,764.82x = 46,753,668.93
  5. Step 5: Solve for x
    x = 46,753,668.93/9,764.82
  6. Step 6: Final answer
    x = 4,787.97

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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.