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Finding the Fourth Proportional to 6,835.73, 9,433.53 and 3,851.62

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Solution

The fourth proportional to 6,835.73, 9,433.53 and 3,851.62 is: 5,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.73 : 9,433.53 = 3,851.62 : x
  2. Step 2: Convert to fraction form
    6,835.73/9,433.53 = 3,851.62/x
  3. Step 3: Cross multiply
    6,835.73x = 9,433.53 × 3,851.62
  4. Step 4: Simplify right side
    6,835.73x = 36,334,372.82
  5. Step 5: Solve for x
    x = 36,334,372.82/6,835.73
  6. Step 6: Final answer
    x = 5,315.36

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1.5x scale

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.