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Finding the Fourth Proportional to 7,072.44, 10,537.58 and 6,675

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Solution

The fourth proportional to 7,072.44, 10,537.58 and 6,675 is: 9,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.44 : 10,537.58 = 6,675 : x
  2. Step 2: Convert to fraction form
    7,072.44/10,537.58 = 6,675/x
  3. Step 3: Cross multiply
    7,072.44x = 10,537.58 × 6,675
  4. Step 4: Simplify right side
    7,072.44x = 70,338,346.50
  5. Step 5: Solve for x
    x = 70,338,346.50/7,072.44
  6. Step 6: Final answer
    x = 9,945.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.