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Finding the Fourth Proportional to 9,791.36, 14,660.80 and 8,236.16

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Solution

The fourth proportional to 9,791.36, 14,660.80 and 8,236.16 is: 12,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.36 : 14,660.80 = 8,236.16 : x
  2. Step 2: Convert to fraction form
    9,791.36/14,660.80 = 8,236.16/x
  3. Step 3: Cross multiply
    9,791.36x = 14,660.80 × 8,236.16
  4. Step 4: Simplify right side
    9,791.36x = 120,748,694.53
  5. Step 5: Solve for x
    x = 120,748,694.53/9,791.36
  6. Step 6: Final answer
    x = 12,332.17

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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.