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Finding the Fourth Proportional to 17,100.64, 25,648.20 and 6,565.78

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Solution

The fourth proportional to 17,100.64, 25,648.20 and 6,565.78 is: 9,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.64 : 25,648.20 = 6,565.78 : x
  2. Step 2: Convert to fraction form
    17,100.64/25,648.20 = 6,565.78/x
  3. Step 3: Cross multiply
    17,100.64x = 25,648.20 × 6,565.78
  4. Step 4: Simplify right side
    17,100.64x = 168,400,438.60
  5. Step 5: Solve for x
    x = 168,400,438.60/17,100.64
  6. Step 6: Final answer
    x = 9,847.61

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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.