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Finding the Fourth Proportional to 6,596.97, 9,893.06 and 1,915.71

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Solution

The fourth proportional to 6,596.97, 9,893.06 and 1,915.71 is: 2,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.97 : 9,893.06 = 1,915.71 : x
  2. Step 2: Convert to fraction form
    6,596.97/9,893.06 = 1,915.71/x
  3. Step 3: Cross multiply
    6,596.97x = 9,893.06 × 1,915.71
  4. Step 4: Simplify right side
    6,596.97x = 18,952,231.58
  5. Step 5: Solve for x
    x = 18,952,231.58/6,596.97
  6. Step 6: Final answer
    x = 2,872.87

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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.