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Finding the Fourth Proportional to 16,924.92, 25,393.46 and 7,564.16

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Solution

The fourth proportional to 16,924.92, 25,393.46 and 7,564.16 is: 11,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,924.92 : 25,393.46 = 7,564.16 : x
  2. Step 2: Convert to fraction form
    16,924.92/25,393.46 = 7,564.16/x
  3. Step 3: Cross multiply
    16,924.92x = 25,393.46 × 7,564.16
  4. Step 4: Simplify right side
    16,924.92x = 192,080,194.39
  5. Step 5: Solve for x
    x = 192,080,194.39/16,924.92
  6. Step 6: Final answer
    x = 11,348.96

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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.