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Finding the Fourth Proportional to 16,029.92, 24,039.12 and 6,164.16

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Solution

The fourth proportional to 16,029.92, 24,039.12 and 6,164.16 is: 9,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.92 : 24,039.12 = 6,164.16 : x
  2. Step 2: Convert to fraction form
    16,029.92/24,039.12 = 6,164.16/x
  3. Step 3: Cross multiply
    16,029.92x = 24,039.12 × 6,164.16
  4. Step 4: Simplify right side
    16,029.92x = 148,180,981.94
  5. Step 5: Solve for x
    x = 148,180,981.94/16,029.92
  6. Step 6: Final answer
    x = 9,244.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.