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Finding the Fourth Proportional to 14,348.54, 21,524.86 and 6,946.92

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Solution

The fourth proportional to 14,348.54, 21,524.86 and 6,946.92 is: 10,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.54 : 21,524.86 = 6,946.92 : x
  2. Step 2: Convert to fraction form
    14,348.54/21,524.86 = 6,946.92/x
  3. Step 3: Cross multiply
    14,348.54x = 21,524.86 × 6,946.92
  4. Step 4: Simplify right side
    14,348.54x = 149,531,480.43
  5. Step 5: Solve for x
    x = 149,531,480.43/14,348.54
  6. Step 6: Final answer
    x = 10,421.37

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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.