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Finding the Fourth Proportional to 7,673.34, 11,509.97 and 1,974.29

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Solution

The fourth proportional to 7,673.34, 11,509.97 and 1,974.29 is: 2,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.34 : 11,509.97 = 1,974.29 : x
  2. Step 2: Convert to fraction form
    7,673.34/11,509.97 = 1,974.29/x
  3. Step 3: Cross multiply
    7,673.34x = 11,509.97 × 1,974.29
  4. Step 4: Simplify right side
    7,673.34x = 22,724,037.57
  5. Step 5: Solve for x
    x = 22,724,037.57/7,673.34
  6. Step 6: Final answer
    x = 2,961.43

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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.