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Finding the Fourth Proportional to 17,214.06, 25,814.14 and 6,678.54

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Solution

The fourth proportional to 17,214.06, 25,814.14 and 6,678.54 is: 10,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.06 : 25,814.14 = 6,678.54 : x
  2. Step 2: Convert to fraction form
    17,214.06/25,814.14 = 6,678.54/x
  3. Step 3: Cross multiply
    17,214.06x = 25,814.14 × 6,678.54
  4. Step 4: Simplify right side
    17,214.06x = 172,400,766.56
  5. Step 5: Solve for x
    x = 172,400,766.56/17,214.06
  6. Step 6: Final answer
    x = 10,015.11

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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.