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Finding the Fourth Proportional to 16,644.14, 22,966.83 and 9,474.98

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Solution

The fourth proportional to 16,644.14, 22,966.83 and 9,474.98 is: 13,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.14 : 22,966.83 = 9,474.98 : x
  2. Step 2: Convert to fraction form
    16,644.14/22,966.83 = 9,474.98/x
  3. Step 3: Cross multiply
    16,644.14x = 22,966.83 × 9,474.98
  4. Step 4: Simplify right side
    16,644.14x = 217,610,140.08
  5. Step 5: Solve for x
    x = 217,610,140.08/16,644.14
  6. Step 6: Final answer
    x = 13,074.28

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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.