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Finding the Fourth Proportional to 17,284.88, 25,923.48 and 6,893.84

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Solution

The fourth proportional to 17,284.88, 25,923.48 and 6,893.84 is: 10,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.88 : 25,923.48 = 6,893.84 : x
  2. Step 2: Convert to fraction form
    17,284.88/25,923.48 = 6,893.84/x
  3. Step 3: Cross multiply
    17,284.88x = 25,923.48 × 6,893.84
  4. Step 4: Simplify right side
    17,284.88x = 178,712,323.36
  5. Step 5: Solve for x
    x = 178,712,323.36/17,284.88
  6. Step 6: Final answer
    x = 10,339.23

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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.