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Finding the Fourth Proportional to 19,706.50, 27,194.74 and 10,754.15

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Solution

The fourth proportional to 19,706.50, 27,194.74 and 10,754.15 is: 14,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.50 : 27,194.74 = 10,754.15 : x
  2. Step 2: Convert to fraction form
    19,706.50/27,194.74 = 10,754.15/x
  3. Step 3: Cross multiply
    19,706.50x = 27,194.74 × 10,754.15
  4. Step 4: Simplify right side
    19,706.50x = 292,456,354.27
  5. Step 5: Solve for x
    x = 292,456,354.27/19,706.50
  6. Step 6: Final answer
    x = 14,840.61

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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.