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Finding the Fourth Proportional to 11,471.32, 17,192.22 and 11,347.48

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Solution

The fourth proportional to 11,471.32, 17,192.22 and 11,347.48 is: 17,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.32 : 17,192.22 = 11,347.48 : x
  2. Step 2: Convert to fraction form
    11,471.32/17,192.22 = 11,347.48/x
  3. Step 3: Cross multiply
    11,471.32x = 17,192.22 × 11,347.48
  4. Step 4: Simplify right side
    11,471.32x = 195,088,372.61
  5. Step 5: Solve for x
    x = 195,088,372.61/11,471.32
  6. Step 6: Final answer
    x = 17,006.62

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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.