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Finding the Fourth Proportional to 16,767, 25,151.16 and 5,674.80

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Solution

The fourth proportional to 16,767, 25,151.16 and 5,674.80 is: 8,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 25,151.16 = 5,674.80 : x
  2. Step 2: Convert to fraction form
    16,767/25,151.16 = 5,674.80/x
  3. Step 3: Cross multiply
    16,767x = 25,151.16 × 5,674.80
  4. Step 4: Simplify right side
    16,767x = 142,727,802.77
  5. Step 5: Solve for x
    x = 142,727,802.77/16,767
  6. Step 6: Final answer
    x = 8,512.42

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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.