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Finding the Fourth Proportional to 9,767.02, 13,477.04 and 5,936.66

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Solution

The fourth proportional to 9,767.02, 13,477.04 and 5,936.66 is: 8,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.02 : 13,477.04 = 5,936.66 : x
  2. Step 2: Convert to fraction form
    9,767.02/13,477.04 = 5,936.66/x
  3. Step 3: Cross multiply
    9,767.02x = 13,477.04 × 5,936.66
  4. Step 4: Simplify right side
    9,767.02x = 80,008,604.29
  5. Step 5: Solve for x
    x = 80,008,604.29/9,767.02
  6. Step 6: Final answer
    x = 8,191.71

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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.