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Finding the Fourth Proportional to 19,822.59, 29,733.88 and 5,971.59

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Solution

The fourth proportional to 19,822.59, 29,733.88 and 5,971.59 is: 8,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.59 : 29,733.88 = 5,971.59 : x
  2. Step 2: Convert to fraction form
    19,822.59/29,733.88 = 5,971.59/x
  3. Step 3: Cross multiply
    19,822.59x = 29,733.88 × 5,971.59
  4. Step 4: Simplify right side
    19,822.59x = 177,558,540.47
  5. Step 5: Solve for x
    x = 177,558,540.47/19,822.59
  6. Step 6: Final answer
    x = 8,957.38

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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.