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Finding the Fourth Proportional to 16,197, 22,353.46 and 9,482.22

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Solution

The fourth proportional to 16,197, 22,353.46 and 9,482.22 is: 13,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197 : 22,353.46 = 9,482.22 : x
  2. Step 2: Convert to fraction form
    16,197/22,353.46 = 9,482.22/x
  3. Step 3: Cross multiply
    16,197x = 22,353.46 × 9,482.22
  4. Step 4: Simplify right side
    16,197x = 211,960,425.48
  5. Step 5: Solve for x
    x = 211,960,425.48/16,197
  6. Step 6: Final answer
    x = 13,086.40

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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.