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Finding the Fourth Proportional to 9,562.32, 13,163.24 and 8,295.92

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Solution

The fourth proportional to 9,562.32, 13,163.24 and 8,295.92 is: 11,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.32 : 13,163.24 = 8,295.92 : x
  2. Step 2: Convert to fraction form
    9,562.32/13,163.24 = 8,295.92/x
  3. Step 3: Cross multiply
    9,562.32x = 13,163.24 × 8,295.92
  4. Step 4: Simplify right side
    9,562.32x = 109,201,185.98
  5. Step 5: Solve for x
    x = 109,201,185.98/9,562.32
  6. Step 6: Final answer
    x = 11,419.95

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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.