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Finding the Fourth Proportional to 22,709.27, 34,064 and 6,069.35

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Solution

The fourth proportional to 22,709.27, 34,064 and 6,069.35 is: 9,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.27 : 34,064 = 6,069.35 : x
  2. Step 2: Convert to fraction form
    22,709.27/34,064 = 6,069.35/x
  3. Step 3: Cross multiply
    22,709.27x = 34,064 × 6,069.35
  4. Step 4: Simplify right side
    22,709.27x = 206,746,338.40
  5. Step 5: Solve for x
    x = 206,746,338.40/22,709.27
  6. Step 6: Final answer
    x = 9,104.05

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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.