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Finding the Fourth Proportional to 7,170.50, 10,751.79 and 4,830.38

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Solution

The fourth proportional to 7,170.50, 10,751.79 and 4,830.38 is: 7,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.50 : 10,751.79 = 4,830.38 : x
  2. Step 2: Convert to fraction form
    7,170.50/10,751.79 = 4,830.38/x
  3. Step 3: Cross multiply
    7,170.50x = 10,751.79 × 4,830.38
  4. Step 4: Simplify right side
    7,170.50x = 51,935,231.38
  5. Step 5: Solve for x
    x = 51,935,231.38/7,170.50
  6. Step 6: Final answer
    x = 7,242.90

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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.