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Finding the Fourth Proportional to 6,851.88, 10,281.42 and 4,863.42

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Solution

The fourth proportional to 6,851.88, 10,281.42 and 4,863.42 is: 7,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.88 : 10,281.42 = 4,863.42 : x
  2. Step 2: Convert to fraction form
    6,851.88/10,281.42 = 4,863.42/x
  3. Step 3: Cross multiply
    6,851.88x = 10,281.42 × 4,863.42
  4. Step 4: Simplify right side
    6,851.88x = 50,002,848.42
  5. Step 5: Solve for x
    x = 50,002,848.42/6,851.88
  6. Step 6: Final answer
    x = 7,297.68

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1.5x scale

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.