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Finding the Fourth Proportional to 6,850.52, 9,437.32 and 6,517

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Solution

The fourth proportional to 6,850.52, 9,437.32 and 6,517 is: 8,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.52 : 9,437.32 = 6,517 : x
  2. Step 2: Convert to fraction form
    6,850.52/9,437.32 = 6,517/x
  3. Step 3: Cross multiply
    6,850.52x = 9,437.32 × 6,517
  4. Step 4: Simplify right side
    6,850.52x = 61,503,014.44
  5. Step 5: Solve for x
    x = 61,503,014.44/6,850.52
  6. Step 6: Final answer
    x = 8,977.86

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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.