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Finding the Fourth Proportional to 17,109.12, 25,678.08 and 6,728.16

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Solution

The fourth proportional to 17,109.12, 25,678.08 and 6,728.16 is: 10,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109.12 : 25,678.08 = 6,728.16 : x
  2. Step 2: Convert to fraction form
    17,109.12/25,678.08 = 6,728.16/x
  3. Step 3: Cross multiply
    17,109.12x = 25,678.08 × 6,728.16
  4. Step 4: Simplify right side
    17,109.12x = 172,766,230.73
  5. Step 5: Solve for x
    x = 172,766,230.73/17,109.12
  6. Step 6: Final answer
    x = 10,097.90

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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.