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Finding the Fourth Proportional to 10,171.04, 15,257.10 and 3,245

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Solution

The fourth proportional to 10,171.04, 15,257.10 and 3,245 is: 4,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.04 : 15,257.10 = 3,245 : x
  2. Step 2: Convert to fraction form
    10,171.04/15,257.10 = 3,245/x
  3. Step 3: Cross multiply
    10,171.04x = 15,257.10 × 3,245
  4. Step 4: Simplify right side
    10,171.04x = 49,509,289.50
  5. Step 5: Solve for x
    x = 49,509,289.50/10,171.04
  6. Step 6: Final answer
    x = 4,867.67

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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.