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Finding the Fourth Proportional to 9,804.32, 13,529.88 and 5,974.85

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Solution

The fourth proportional to 9,804.32, 13,529.88 and 5,974.85 is: 8,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.32 : 13,529.88 = 5,974.85 : x
  2. Step 2: Convert to fraction form
    9,804.32/13,529.88 = 5,974.85/x
  3. Step 3: Cross multiply
    9,804.32x = 13,529.88 × 5,974.85
  4. Step 4: Simplify right side
    9,804.32x = 80,839,003.52
  5. Step 5: Solve for x
    x = 80,839,003.52/9,804.32
  6. Step 6: Final answer
    x = 8,245.24

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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.