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Finding the Fourth Proportional to 7,295, 10,942.50 and 1,823

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Solution

The fourth proportional to 7,295, 10,942.50 and 1,823 is: 2,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295 : 10,942.50 = 1,823 : x
  2. Step 2: Convert to fraction form
    7,295/10,942.50 = 1,823/x
  3. Step 3: Cross multiply
    7,295x = 10,942.50 × 1,823
  4. Step 4: Simplify right side
    7,295x = 19,948,177.50
  5. Step 5: Solve for x
    x = 19,948,177.50/7,295
  6. Step 6: Final answer
    x = 2,734.50

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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.