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Finding the Fourth Proportional to 16,354.56, 22,566.30 and 9,642.30

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Solution

The fourth proportional to 16,354.56, 22,566.30 and 9,642.30 is: 13,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.56 : 22,566.30 = 9,642.30 : x
  2. Step 2: Convert to fraction form
    16,354.56/22,566.30 = 9,642.30/x
  3. Step 3: Cross multiply
    16,354.56x = 22,566.30 × 9,642.30
  4. Step 4: Simplify right side
    16,354.56x = 217,591,034.49
  5. Step 5: Solve for x
    x = 217,591,034.49/16,354.56
  6. Step 6: Final answer
    x = 13,304.61

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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.