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Finding the Fourth Proportional to 6,432.72, 9,649.78 and 2,049.17

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Solution

The fourth proportional to 6,432.72, 9,649.78 and 2,049.17 is: 3,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.72 : 9,649.78 = 2,049.17 : x
  2. Step 2: Convert to fraction form
    6,432.72/9,649.78 = 2,049.17/x
  3. Step 3: Cross multiply
    6,432.72x = 9,649.78 × 2,049.17
  4. Step 4: Simplify right side
    6,432.72x = 19,773,991.43
  5. Step 5: Solve for x
    x = 19,773,991.43/6,432.72
  6. Step 6: Final answer
    x = 3,073.97

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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.