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Finding the Fourth Proportional to 14,211.29, 19,611.92 and 7,837.97

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Solution

The fourth proportional to 14,211.29, 19,611.92 and 7,837.97 is: 10,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.29 : 19,611.92 = 7,837.97 : x
  2. Step 2: Convert to fraction form
    14,211.29/19,611.92 = 7,837.97/x
  3. Step 3: Cross multiply
    14,211.29x = 19,611.92 × 7,837.97
  4. Step 4: Simplify right side
    14,211.29x = 153,717,640.60
  5. Step 5: Solve for x
    x = 153,717,640.60/14,211.29
  6. Step 6: Final answer
    x = 10,816.59

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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.