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Finding the Fourth Proportional to 16,644.28, 22,966.04 and 9,839.40

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Solution

The fourth proportional to 16,644.28, 22,966.04 and 9,839.40 is: 13,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.28 : 22,966.04 = 9,839.40 : x
  2. Step 2: Convert to fraction form
    16,644.28/22,966.04 = 9,839.40/x
  3. Step 3: Cross multiply
    16,644.28x = 22,966.04 × 9,839.40
  4. Step 4: Simplify right side
    16,644.28x = 225,971,889.95
  5. Step 5: Solve for x
    x = 225,971,889.95/16,644.28
  6. Step 6: Final answer
    x = 13,576.55

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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.