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Finding the Fourth Proportional to 10,034.96, 15,054 and 4,191.92

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Solution

The fourth proportional to 10,034.96, 15,054 and 4,191.92 is: 6,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.96 : 15,054 = 4,191.92 : x
  2. Step 2: Convert to fraction form
    10,034.96/15,054 = 4,191.92/x
  3. Step 3: Cross multiply
    10,034.96x = 15,054 × 4,191.92
  4. Step 4: Simplify right side
    10,034.96x = 63,105,163.68
  5. Step 5: Solve for x
    x = 63,105,163.68/10,034.96
  6. Step 6: Final answer
    x = 6,288.53

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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.