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Finding the Fourth Proportional to 9,765.44, 13,471.32 and 5,936.04

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Solution

The fourth proportional to 9,765.44, 13,471.32 and 5,936.04 is: 8,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.44 : 13,471.32 = 5,936.04 : x
  2. Step 2: Convert to fraction form
    9,765.44/13,471.32 = 5,936.04/x
  3. Step 3: Cross multiply
    9,765.44x = 13,471.32 × 5,936.04
  4. Step 4: Simplify right side
    9,765.44x = 79,966,294.37
  5. Step 5: Solve for x
    x = 79,966,294.37/9,765.44
  6. Step 6: Final answer
    x = 8,188.70

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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.