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Finding the Fourth Proportional to 6,930.96, 10,380.08 and 6,014

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Solution

The fourth proportional to 6,930.96, 10,380.08 and 6,014 is: 9,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.96 : 10,380.08 = 6,014 : x
  2. Step 2: Convert to fraction form
    6,930.96/10,380.08 = 6,014/x
  3. Step 3: Cross multiply
    6,930.96x = 10,380.08 × 6,014
  4. Step 4: Simplify right side
    6,930.96x = 62,425,801.12
  5. Step 5: Solve for x
    x = 62,425,801.12/6,930.96
  6. Step 6: Final answer
    x = 9,006.80

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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.