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Finding the Fourth Proportional to 10,745.64, 16,039.94 and 9,954.23

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Solution

The fourth proportional to 10,745.64, 16,039.94 and 9,954.23 is: 14,858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.64 : 16,039.94 = 9,954.23 : x
  2. Step 2: Convert to fraction form
    10,745.64/16,039.94 = 9,954.23/x
  3. Step 3: Cross multiply
    10,745.64x = 16,039.94 × 9,954.23
  4. Step 4: Simplify right side
    10,745.64x = 159,665,121.98
  5. Step 5: Solve for x
    x = 159,665,121.98/10,745.64
  6. Step 6: Final answer
    x = 14,858.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.