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Finding the Fourth Proportional to 10,104.06, 13,944.03 and 5,627.81

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Solution

The fourth proportional to 10,104.06, 13,944.03 and 5,627.81 is: 7,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.06 : 13,944.03 = 5,627.81 : x
  2. Step 2: Convert to fraction form
    10,104.06/13,944.03 = 5,627.81/x
  3. Step 3: Cross multiply
    10,104.06x = 13,944.03 × 5,627.81
  4. Step 4: Simplify right side
    10,104.06x = 78,474,253.62
  5. Step 5: Solve for x
    x = 78,474,253.62/10,104.06
  6. Step 6: Final answer
    x = 7,766.61

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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.