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Finding the Fourth Proportional to 16,170, 22,315.89 and 9,096.95

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Solution

The fourth proportional to 16,170, 22,315.89 and 9,096.95 is: 12,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170 : 22,315.89 = 9,096.95 : x
  2. Step 2: Convert to fraction form
    16,170/22,315.89 = 9,096.95/x
  3. Step 3: Cross multiply
    16,170x = 22,315.89 × 9,096.95
  4. Step 4: Simplify right side
    16,170x = 203,006,423.96
  5. Step 5: Solve for x
    x = 203,006,423.96/16,170
  6. Step 6: Final answer
    x = 12,554.51

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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.