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Finding the Fourth Proportional to 17,098.90, 25,619.55 and 8,314.90

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Solution

The fourth proportional to 17,098.90, 25,619.55 and 8,314.90 is: 12,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.90 : 25,619.55 = 8,314.90 : x
  2. Step 2: Convert to fraction form
    17,098.90/25,619.55 = 8,314.90/x
  3. Step 3: Cross multiply
    17,098.90x = 25,619.55 × 8,314.90
  4. Step 4: Simplify right side
    17,098.90x = 213,023,996.30
  5. Step 5: Solve for x
    x = 213,023,996.30/17,098.90
  6. Step 6: Final answer
    x = 12,458.35

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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.