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Finding the Fourth Proportional to 10,105.44, 15,150.06 and 6,777.15

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Solution

The fourth proportional to 10,105.44, 15,150.06 and 6,777.15 is: 10,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.44 : 15,150.06 = 6,777.15 : x
  2. Step 2: Convert to fraction form
    10,105.44/15,150.06 = 6,777.15/x
  3. Step 3: Cross multiply
    10,105.44x = 15,150.06 × 6,777.15
  4. Step 4: Simplify right side
    10,105.44x = 102,674,229.13
  5. Step 5: Solve for x
    x = 102,674,229.13/10,105.44
  6. Step 6: Final answer
    x = 10,160.29

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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.