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Finding the Fourth Proportional to 9,755.74, 13,463.02 and 5,926.27

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Solution

The fourth proportional to 9,755.74, 13,463.02 and 5,926.27 is: 8,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.74 : 13,463.02 = 5,926.27 : x
  2. Step 2: Convert to fraction form
    9,755.74/13,463.02 = 5,926.27/x
  3. Step 3: Cross multiply
    9,755.74x = 13,463.02 × 5,926.27
  4. Step 4: Simplify right side
    9,755.74x = 79,785,491.54
  5. Step 5: Solve for x
    x = 79,785,491.54/9,755.74
  6. Step 6: Final answer
    x = 8,178.31

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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.