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Finding the Fourth Proportional to 15,092.10, 22,612.46 and 9,819.09

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Solution

The fourth proportional to 15,092.10, 22,612.46 and 9,819.09 is: 14,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.10 : 22,612.46 = 9,819.09 : x
  2. Step 2: Convert to fraction form
    15,092.10/22,612.46 = 9,819.09/x
  3. Step 3: Cross multiply
    15,092.10x = 22,612.46 × 9,819.09
  4. Step 4: Simplify right side
    15,092.10x = 222,033,730.77
  5. Step 5: Solve for x
    x = 222,033,730.77/15,092.10
  6. Step 6: Final answer
    x = 14,711.92

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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.