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Finding the Fourth Proportional to 6,884.70, 9,501.01 and 3,900.53

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Solution

The fourth proportional to 6,884.70, 9,501.01 and 3,900.53 is: 5,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.70 : 9,501.01 = 3,900.53 : x
  2. Step 2: Convert to fraction form
    6,884.70/9,501.01 = 3,900.53/x
  3. Step 3: Cross multiply
    6,884.70x = 9,501.01 × 3,900.53
  4. Step 4: Simplify right side
    6,884.70x = 37,058,974.54
  5. Step 5: Solve for x
    x = 37,058,974.54/6,884.70
  6. Step 6: Final answer
    x = 5,382.80

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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.