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Finding the Fourth Proportional to 16,806.54, 25,209.84 and 6,934.98

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Solution

The fourth proportional to 16,806.54, 25,209.84 and 6,934.98 is: 10,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.54 : 25,209.84 = 6,934.98 : x
  2. Step 2: Convert to fraction form
    16,806.54/25,209.84 = 6,934.98/x
  3. Step 3: Cross multiply
    16,806.54x = 25,209.84 × 6,934.98
  4. Step 4: Simplify right side
    16,806.54x = 174,829,736.20
  5. Step 5: Solve for x
    x = 174,829,736.20/16,806.54
  6. Step 6: Final answer
    x = 10,402.48

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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.