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Finding the Fourth Proportional to 19,245, 28,868.34 and 6,098.34

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Solution

The fourth proportional to 19,245, 28,868.34 and 6,098.34 is: 9,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,245 : 28,868.34 = 6,098.34 : x
  2. Step 2: Convert to fraction form
    19,245/28,868.34 = 6,098.34/x
  3. Step 3: Cross multiply
    19,245x = 28,868.34 × 6,098.34
  4. Step 4: Simplify right side
    19,245x = 176,048,952.56
  5. Step 5: Solve for x
    x = 176,048,952.56/19,245
  6. Step 6: Final answer
    x = 9,147.78

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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.