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Finding the Fourth Proportional to 16,858.56, 25,287.12 and 6,469.68

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Solution

The fourth proportional to 16,858.56, 25,287.12 and 6,469.68 is: 9,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.56 : 25,287.12 = 6,469.68 : x
  2. Step 2: Convert to fraction form
    16,858.56/25,287.12 = 6,469.68/x
  3. Step 3: Cross multiply
    16,858.56x = 25,287.12 × 6,469.68
  4. Step 4: Simplify right side
    16,858.56x = 163,599,574.52
  5. Step 5: Solve for x
    x = 163,599,574.52/16,858.56
  6. Step 6: Final answer
    x = 9,704.24

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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.