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Finding the Fourth Proportional to 7,493.46, 11,240.19 and 1,946.34

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Solution

The fourth proportional to 7,493.46, 11,240.19 and 1,946.34 is: 2,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.46 : 11,240.19 = 1,946.34 : x
  2. Step 2: Convert to fraction form
    7,493.46/11,240.19 = 1,946.34/x
  3. Step 3: Cross multiply
    7,493.46x = 11,240.19 × 1,946.34
  4. Step 4: Simplify right side
    7,493.46x = 21,877,175.20
  5. Step 5: Solve for x
    x = 21,877,175.20/7,493.46
  6. Step 6: Final answer
    x = 2,919.50

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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.