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Finding the Fourth Proportional to 7,033, 10,542.60 and 3,914.50

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Solution

The fourth proportional to 7,033, 10,542.60 and 3,914.50 is: 5,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033 : 10,542.60 = 3,914.50 : x
  2. Step 2: Convert to fraction form
    7,033/10,542.60 = 3,914.50/x
  3. Step 3: Cross multiply
    7,033x = 10,542.60 × 3,914.50
  4. Step 4: Simplify right side
    7,033x = 41,269,007.70
  5. Step 5: Solve for x
    x = 41,269,007.70/7,033
  6. Step 6: Final answer
    x = 5,867.91

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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.