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Finding the Fourth Proportional to 7,673.38, 11,510.02 and 1,974.34

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Solution

The fourth proportional to 7,673.38, 11,510.02 and 1,974.34 is: 2,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.38 : 11,510.02 = 1,974.34 : x
  2. Step 2: Convert to fraction form
    7,673.38/11,510.02 = 1,974.34/x
  3. Step 3: Cross multiply
    7,673.38x = 11,510.02 × 1,974.34
  4. Step 4: Simplify right side
    7,673.38x = 22,724,692.89
  5. Step 5: Solve for x
    x = 22,724,692.89/7,673.38
  6. Step 6: Final answer
    x = 2,961.50

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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.