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Finding the Fourth Proportional to 14,634.82, 20,196 and 7,920.56

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Solution

The fourth proportional to 14,634.82, 20,196 and 7,920.56 is: 10,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.82 : 20,196 = 7,920.56 : x
  2. Step 2: Convert to fraction form
    14,634.82/20,196 = 7,920.56/x
  3. Step 3: Cross multiply
    14,634.82x = 20,196 × 7,920.56
  4. Step 4: Simplify right side
    14,634.82x = 159,963,629.76
  5. Step 5: Solve for x
    x = 159,963,629.76/14,634.82
  6. Step 6: Final answer
    x = 10,930.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.