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Finding the Fourth Proportional to 10,658.60, 15,977.10 and 6,273.80

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Solution

The fourth proportional to 10,658.60, 15,977.10 and 6,273.80 is: 9,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.60 : 15,977.10 = 6,273.80 : x
  2. Step 2: Convert to fraction form
    10,658.60/15,977.10 = 6,273.80/x
  3. Step 3: Cross multiply
    10,658.60x = 15,977.10 × 6,273.80
  4. Step 4: Simplify right side
    10,658.60x = 100,237,129.98
  5. Step 5: Solve for x
    x = 100,237,129.98/10,658.60
  6. Step 6: Final answer
    x = 9,404.34

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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.