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Finding the Fourth Proportional to 19,993.54, 29,970.24 and 6,836.91

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Solution

The fourth proportional to 19,993.54, 29,970.24 and 6,836.91 is: 10,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.54 : 29,970.24 = 6,836.91 : x
  2. Step 2: Convert to fraction form
    19,993.54/29,970.24 = 6,836.91/x
  3. Step 3: Cross multiply
    19,993.54x = 29,970.24 × 6,836.91
  4. Step 4: Simplify right side
    19,993.54x = 204,903,833.56
  5. Step 5: Solve for x
    x = 204,903,833.56/19,993.54
  6. Step 6: Final answer
    x = 10,248.50

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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.