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Finding the Fourth Proportional to 13,195, 19,797.36 and 6,954.76

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Solution

The fourth proportional to 13,195, 19,797.36 and 6,954.76 is: 10,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195 : 19,797.36 = 6,954.76 : x
  2. Step 2: Convert to fraction form
    13,195/19,797.36 = 6,954.76/x
  3. Step 3: Cross multiply
    13,195x = 19,797.36 × 6,954.76
  4. Step 4: Simplify right side
    13,195x = 137,685,887.43
  5. Step 5: Solve for x
    x = 137,685,887.43/13,195
  6. Step 6: Final answer
    x = 10,434.70

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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.