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Finding the Fourth Proportional to 16,344, 22,554.36 and 9,271.20

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Solution

The fourth proportional to 16,344, 22,554.36 and 9,271.20 is: 12,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344 : 22,554.36 = 9,271.20 : x
  2. Step 2: Convert to fraction form
    16,344/22,554.36 = 9,271.20/x
  3. Step 3: Cross multiply
    16,344x = 22,554.36 × 9,271.20
  4. Step 4: Simplify right side
    16,344x = 209,105,982.43
  5. Step 5: Solve for x
    x = 209,105,982.43/16,344
  6. Step 6: Final answer
    x = 12,794.05

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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.