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Finding the Fourth Proportional to 15,819.91, 21,830.92 and 8,649.59

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Solution

The fourth proportional to 15,819.91, 21,830.92 and 8,649.59 is: 11,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.91 : 21,830.92 = 8,649.59 : x
  2. Step 2: Convert to fraction form
    15,819.91/21,830.92 = 8,649.59/x
  3. Step 3: Cross multiply
    15,819.91x = 21,830.92 × 8,649.59
  4. Step 4: Simplify right side
    15,819.91x = 188,828,376.54
  5. Step 5: Solve for x
    x = 188,828,376.54/15,819.91
  6. Step 6: Final answer
    x = 11,936.12

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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.