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Finding the Fourth Proportional to 5,942.98, 8,915.82 and 2,047.30

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Solution

The fourth proportional to 5,942.98, 8,915.82 and 2,047.30 is: 3,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.98 : 8,915.82 = 2,047.30 : x
  2. Step 2: Convert to fraction form
    5,942.98/8,915.82 = 2,047.30/x
  3. Step 3: Cross multiply
    5,942.98x = 8,915.82 × 2,047.30
  4. Step 4: Simplify right side
    5,942.98x = 18,253,358.29
  5. Step 5: Solve for x
    x = 18,253,358.29/5,942.98
  6. Step 6: Final answer
    x = 3,071.42

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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.