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Finding the Fourth Proportional to 16,163.30, 22,300.16 and 9,787.86

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Solution

The fourth proportional to 16,163.30, 22,300.16 and 9,787.86 is: 13,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.30 : 22,300.16 = 9,787.86 : x
  2. Step 2: Convert to fraction form
    16,163.30/22,300.16 = 9,787.86/x
  3. Step 3: Cross multiply
    16,163.30x = 22,300.16 × 9,787.86
  4. Step 4: Simplify right side
    16,163.30x = 218,270,868.53
  5. Step 5: Solve for x
    x = 218,270,868.53/16,163.30
  6. Step 6: Final answer
    x = 13,504.10

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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.