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Finding the Fourth Proportional to 9,662.76, 13,335.68 and 5,414.51

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Solution

The fourth proportional to 9,662.76, 13,335.68 and 5,414.51 is: 7,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.76 : 13,335.68 = 5,414.51 : x
  2. Step 2: Convert to fraction form
    9,662.76/13,335.68 = 5,414.51/x
  3. Step 3: Cross multiply
    9,662.76x = 13,335.68 × 5,414.51
  4. Step 4: Simplify right side
    9,662.76x = 72,206,078.97
  5. Step 5: Solve for x
    x = 72,206,078.97/9,662.76
  6. Step 6: Final answer
    x = 7,472.62

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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.