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Finding the Fourth Proportional to 7,168, 10,750.14 and 3,217

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Solution

The fourth proportional to 7,168, 10,750.14 and 3,217 is: 4,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168 : 10,750.14 = 3,217 : x
  2. Step 2: Convert to fraction form
    7,168/10,750.14 = 3,217/x
  3. Step 3: Cross multiply
    7,168x = 10,750.14 × 3,217
  4. Step 4: Simplify right side
    7,168x = 34,583,200.38
  5. Step 5: Solve for x
    x = 34,583,200.38/7,168
  6. Step 6: Final answer
    x = 4,824.67

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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.