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Finding the Fourth Proportional to 16,536, 22,821.24 and 9,462.48

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Solution

The fourth proportional to 16,536, 22,821.24 and 9,462.48 is: 13,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536 : 22,821.24 = 9,462.48 : x
  2. Step 2: Convert to fraction form
    16,536/22,821.24 = 9,462.48/x
  3. Step 3: Cross multiply
    16,536x = 22,821.24 × 9,462.48
  4. Step 4: Simplify right side
    16,536x = 215,945,527.08
  5. Step 5: Solve for x
    x = 215,945,527.08/16,536
  6. Step 6: Final answer
    x = 13,059.12

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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.