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Finding the Fourth Proportional to 6,758.02, 9,325.53 and 3,773.68

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Solution

The fourth proportional to 6,758.02, 9,325.53 and 3,773.68 is: 5,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.02 : 9,325.53 = 3,773.68 : x
  2. Step 2: Convert to fraction form
    6,758.02/9,325.53 = 3,773.68/x
  3. Step 3: Cross multiply
    6,758.02x = 9,325.53 × 3,773.68
  4. Step 4: Simplify right side
    6,758.02x = 35,191,568.54
  5. Step 5: Solve for x
    x = 35,191,568.54/6,758.02
  6. Step 6: Final answer
    x = 5,207.38

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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.