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Finding the Fourth Proportional to 11,096.44, 15,315.70 and 6,383.44

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Solution

The fourth proportional to 11,096.44, 15,315.70 and 6,383.44 is: 8,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.44 : 15,315.70 = 6,383.44 : x
  2. Step 2: Convert to fraction form
    11,096.44/15,315.70 = 6,383.44/x
  3. Step 3: Cross multiply
    11,096.44x = 15,315.70 × 6,383.44
  4. Step 4: Simplify right side
    11,096.44x = 97,766,852.01
  5. Step 5: Solve for x
    x = 97,766,852.01/11,096.44
  6. Step 6: Final answer
    x = 8,810.65

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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.