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Finding the Fourth Proportional to 16,263.94, 22,442.52 and 9,189

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Solution

The fourth proportional to 16,263.94, 22,442.52 and 9,189 is: 12,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263.94 : 22,442.52 = 9,189 : x
  2. Step 2: Convert to fraction form
    16,263.94/22,442.52 = 9,189/x
  3. Step 3: Cross multiply
    16,263.94x = 22,442.52 × 9,189
  4. Step 4: Simplify right side
    16,263.94x = 206,224,316.28
  5. Step 5: Solve for x
    x = 206,224,316.28/16,263.94
  6. Step 6: Final answer
    x = 12,679.85

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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.