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Finding the Fourth Proportional to 6,815.88, 9,408.56 and 4,297.46

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Solution

The fourth proportional to 6,815.88, 9,408.56 and 4,297.46 is: 5,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.88 : 9,408.56 = 4,297.46 : x
  2. Step 2: Convert to fraction form
    6,815.88/9,408.56 = 4,297.46/x
  3. Step 3: Cross multiply
    6,815.88x = 9,408.56 × 4,297.46
  4. Step 4: Simplify right side
    6,815.88x = 40,432,841.73
  5. Step 5: Solve for x
    x = 40,432,841.73/6,815.88
  6. Step 6: Final answer
    x = 5,932.15

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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.