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Finding the Fourth Proportional to 16,568.94, 22,865.12 and 9,499.46

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Solution

The fourth proportional to 16,568.94, 22,865.12 and 9,499.46 is: 13,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568.94 : 22,865.12 = 9,499.46 : x
  2. Step 2: Convert to fraction form
    16,568.94/22,865.12 = 9,499.46/x
  3. Step 3: Cross multiply
    16,568.94x = 22,865.12 × 9,499.46
  4. Step 4: Simplify right side
    16,568.94x = 217,206,292.84
  5. Step 5: Solve for x
    x = 217,206,292.84/16,568.94
  6. Step 6: Final answer
    x = 13,109.24

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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.