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Finding the Fourth Proportional to 19,672.48, 29,508.54 and 7,982.92

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Solution

The fourth proportional to 19,672.48, 29,508.54 and 7,982.92 is: 11,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.48 : 29,508.54 = 7,982.92 : x
  2. Step 2: Convert to fraction form
    19,672.48/29,508.54 = 7,982.92/x
  3. Step 3: Cross multiply
    19,672.48x = 29,508.54 × 7,982.92
  4. Step 4: Simplify right side
    19,672.48x = 235,564,314.14
  5. Step 5: Solve for x
    x = 235,564,314.14/19,672.48
  6. Step 6: Final answer
    x = 11,974.31

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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.