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Finding the Fourth Proportional to 17,193.76, 25,782.12 and 6,098.78

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Solution

The fourth proportional to 17,193.76, 25,782.12 and 6,098.78 is: 9,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193.76 : 25,782.12 = 6,098.78 : x
  2. Step 2: Convert to fraction form
    17,193.76/25,782.12 = 6,098.78/x
  3. Step 3: Cross multiply
    17,193.76x = 25,782.12 × 6,098.78
  4. Step 4: Simplify right side
    17,193.76x = 157,239,565.14
  5. Step 5: Solve for x
    x = 157,239,565.14/17,193.76
  6. Step 6: Final answer
    x = 9,145.15

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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.