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Finding the Fourth Proportional to 19,754.76, 29,632.20 and 5,715.96

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Solution

The fourth proportional to 19,754.76, 29,632.20 and 5,715.96 is: 8,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.76 : 29,632.20 = 5,715.96 : x
  2. Step 2: Convert to fraction form
    19,754.76/29,632.20 = 5,715.96/x
  3. Step 3: Cross multiply
    19,754.76x = 29,632.20 × 5,715.96
  4. Step 4: Simplify right side
    19,754.76x = 169,376,469.91
  5. Step 5: Solve for x
    x = 169,376,469.91/19,754.76
  6. Step 6: Final answer
    x = 8,573.96

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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.