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Finding the Fourth Proportional to 16,078.31, 22,188.08 and 9,004.74

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Solution

The fourth proportional to 16,078.31, 22,188.08 and 9,004.74 is: 12,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.31 : 22,188.08 = 9,004.74 : x
  2. Step 2: Convert to fraction form
    16,078.31/22,188.08 = 9,004.74/x
  3. Step 3: Cross multiply
    16,078.31x = 22,188.08 × 9,004.74
  4. Step 4: Simplify right side
    16,078.31x = 199,797,797.04
  5. Step 5: Solve for x
    x = 199,797,797.04/16,078.31
  6. Step 6: Final answer
    x = 12,426.54

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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.