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Finding the Fourth Proportional to 16,225.94, 24,348.48 and 6,865.22

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Solution

The fourth proportional to 16,225.94, 24,348.48 and 6,865.22 is: 10,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.94 : 24,348.48 = 6,865.22 : x
  2. Step 2: Convert to fraction form
    16,225.94/24,348.48 = 6,865.22/x
  3. Step 3: Cross multiply
    16,225.94x = 24,348.48 × 6,865.22
  4. Step 4: Simplify right side
    16,225.94x = 167,157,671.87
  5. Step 5: Solve for x
    x = 167,157,671.87/16,225.94
  6. Step 6: Final answer
    x = 10,301.88

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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.