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Finding the Fourth Proportional to 17,235.12, 25,872.08 and 6,854.16

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Solution

The fourth proportional to 17,235.12, 25,872.08 and 6,854.16 is: 10,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.12 : 25,872.08 = 6,854.16 : x
  2. Step 2: Convert to fraction form
    17,235.12/25,872.08 = 6,854.16/x
  3. Step 3: Cross multiply
    17,235.12x = 25,872.08 × 6,854.16
  4. Step 4: Simplify right side
    17,235.12x = 177,331,375.85
  5. Step 5: Solve for x
    x = 177,331,375.85/17,235.12
  6. Step 6: Final answer
    x = 10,288.96

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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.