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Finding the Fourth Proportional to 16,151.94, 22,289.22 and 9,078.84

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Solution

The fourth proportional to 16,151.94, 22,289.22 and 9,078.84 is: 12,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.94 : 22,289.22 = 9,078.84 : x
  2. Step 2: Convert to fraction form
    16,151.94/22,289.22 = 9,078.84/x
  3. Step 3: Cross multiply
    16,151.94x = 22,289.22 × 9,078.84
  4. Step 4: Simplify right side
    16,151.94x = 202,360,262.10
  5. Step 5: Solve for x
    x = 202,360,262.10/16,151.94
  6. Step 6: Final answer
    x = 12,528.54

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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.