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Finding the Fourth Proportional to 11,410.84, 15,731.22 and 11,162.44

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Solution

The fourth proportional to 11,410.84, 15,731.22 and 11,162.44 is: 15,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.84 : 15,731.22 = 11,162.44 : x
  2. Step 2: Convert to fraction form
    11,410.84/15,731.22 = 11,162.44/x
  3. Step 3: Cross multiply
    11,410.84x = 15,731.22 × 11,162.44
  4. Step 4: Simplify right side
    11,410.84x = 175,598,799.38
  5. Step 5: Solve for x
    x = 175,598,799.38/11,410.84
  6. Step 6: Final answer
    x = 15,388.77

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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.