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Finding the Fourth Proportional to 6,663, 9,194.94 and 4,149.84

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Solution

The fourth proportional to 6,663, 9,194.94 and 4,149.84 is: 5,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663 : 9,194.94 = 4,149.84 : x
  2. Step 2: Convert to fraction form
    6,663/9,194.94 = 4,149.84/x
  3. Step 3: Cross multiply
    6,663x = 9,194.94 × 4,149.84
  4. Step 4: Simplify right side
    6,663x = 38,157,529.81
  5. Step 5: Solve for x
    x = 38,157,529.81/6,663
  6. Step 6: Final answer
    x = 5,726.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.