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Finding the Fourth Proportional to 16,806.24, 25,209.60 and 6,945.60

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Solution

The fourth proportional to 16,806.24, 25,209.60 and 6,945.60 is: 10,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.24 : 25,209.60 = 6,945.60 : x
  2. Step 2: Convert to fraction form
    16,806.24/25,209.60 = 6,945.60/x
  3. Step 3: Cross multiply
    16,806.24x = 25,209.60 × 6,945.60
  4. Step 4: Simplify right side
    16,806.24x = 175,095,797.76
  5. Step 5: Solve for x
    x = 175,095,797.76/16,806.24
  6. Step 6: Final answer
    x = 10,418.50

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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.