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Finding the Fourth Proportional to 20,097.69, 30,146.52 and 6,950.16

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Solution

The fourth proportional to 20,097.69, 30,146.52 and 6,950.16 is: 10,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.69 : 30,146.52 = 6,950.16 : x
  2. Step 2: Convert to fraction form
    20,097.69/30,146.52 = 6,950.16/x
  3. Step 3: Cross multiply
    20,097.69x = 30,146.52 × 6,950.16
  4. Step 4: Simplify right side
    20,097.69x = 209,523,137.44
  5. Step 5: Solve for x
    x = 209,523,137.44/20,097.69
  6. Step 6: Final answer
    x = 10,425.23

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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.