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Finding the Fourth Proportional to 9,077.05, 13,677.34 and 7,469.65

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Solution

The fourth proportional to 9,077.05, 13,677.34 and 7,469.65 is: 11,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.05 : 13,677.34 = 7,469.65 : x
  2. Step 2: Convert to fraction form
    9,077.05/13,677.34 = 7,469.65/x
  3. Step 3: Cross multiply
    9,077.05x = 13,677.34 × 7,469.65
  4. Step 4: Simplify right side
    9,077.05x = 102,164,942.73
  5. Step 5: Solve for x
    x = 102,164,942.73/9,077.05
  6. Step 6: Final answer
    x = 11,255.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.