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Finding the Fourth Proportional to 11,649.41, 17,472.12 and 5,724.77

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Solution

The fourth proportional to 11,649.41, 17,472.12 and 5,724.77 is: 8,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.41 : 17,472.12 = 5,724.77 : x
  2. Step 2: Convert to fraction form
    11,649.41/17,472.12 = 5,724.77/x
  3. Step 3: Cross multiply
    11,649.41x = 17,472.12 × 5,724.77
  4. Step 4: Simplify right side
    11,649.41x = 100,023,781.05
  5. Step 5: Solve for x
    x = 100,023,781.05/11,649.41
  6. Step 6: Final answer
    x = 8,586.17

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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.