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Finding the Fourth Proportional to 6,905.38, 9,529.70 and 4,112.50

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Solution

The fourth proportional to 6,905.38, 9,529.70 and 4,112.50 is: 5,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.38 : 9,529.70 = 4,112.50 : x
  2. Step 2: Convert to fraction form
    6,905.38/9,529.70 = 4,112.50/x
  3. Step 3: Cross multiply
    6,905.38x = 9,529.70 × 4,112.50
  4. Step 4: Simplify right side
    6,905.38x = 39,190,891.25
  5. Step 5: Solve for x
    x = 39,190,891.25/6,905.38
  6. Step 6: Final answer
    x = 5,675.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.