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Finding the Fourth Proportional to 16,225.94, 24,339 and 6,863.60

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Solution

The fourth proportional to 16,225.94, 24,339 and 6,863.60 is: 10,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.94 : 24,339 = 6,863.60 : x
  2. Step 2: Convert to fraction form
    16,225.94/24,339 = 6,863.60/x
  3. Step 3: Cross multiply
    16,225.94x = 24,339 × 6,863.60
  4. Step 4: Simplify right side
    16,225.94x = 167,053,160.40
  5. Step 5: Solve for x
    x = 167,053,160.40/16,225.94
  6. Step 6: Final answer
    x = 10,295.44

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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.