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Finding the Fourth Proportional to 6,851.90, 9,455.93 and 3,868

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Solution

The fourth proportional to 6,851.90, 9,455.93 and 3,868 is: 5,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.90 : 9,455.93 = 3,868 : x
  2. Step 2: Convert to fraction form
    6,851.90/9,455.93 = 3,868/x
  3. Step 3: Cross multiply
    6,851.90x = 9,455.93 × 3,868
  4. Step 4: Simplify right side
    6,851.90x = 36,575,537.24
  5. Step 5: Solve for x
    x = 36,575,537.24/6,851.90
  6. Step 6: Final answer
    x = 5,338.01

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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.