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Finding the Fourth Proportional to 10,604.97, 15,906.06 and 6,165.09

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Solution

The fourth proportional to 10,604.97, 15,906.06 and 6,165.09 is: 9,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.97 : 15,906.06 = 6,165.09 : x
  2. Step 2: Convert to fraction form
    10,604.97/15,906.06 = 6,165.09/x
  3. Step 3: Cross multiply
    10,604.97x = 15,906.06 × 6,165.09
  4. Step 4: Simplify right side
    10,604.97x = 98,062,291.45
  5. Step 5: Solve for x
    x = 98,062,291.45/10,604.97
  6. Step 6: Final answer
    x = 9,246.82

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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.