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Finding the Fourth Proportional to 6,297.48, 9,453.51 and 3,381.48

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Solution

The fourth proportional to 6,297.48, 9,453.51 and 3,381.48 is: 5,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.48 : 9,453.51 = 3,381.48 : x
  2. Step 2: Convert to fraction form
    6,297.48/9,453.51 = 3,381.48/x
  3. Step 3: Cross multiply
    6,297.48x = 9,453.51 × 3,381.48
  4. Step 4: Simplify right side
    6,297.48x = 31,966,854.99
  5. Step 5: Solve for x
    x = 31,966,854.99/6,297.48
  6. Step 6: Final answer
    x = 5,076.13

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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.