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Finding the Fourth Proportional to 20,464.57, 30,696.85 and 7,316.14

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Solution

The fourth proportional to 20,464.57, 30,696.85 and 7,316.14 is: 10,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.57 : 30,696.85 = 7,316.14 : x
  2. Step 2: Convert to fraction form
    20,464.57/30,696.85 = 7,316.14/x
  3. Step 3: Cross multiply
    20,464.57x = 30,696.85 × 7,316.14
  4. Step 4: Simplify right side
    20,464.57x = 224,582,452.16
  5. Step 5: Solve for x
    x = 224,582,452.16/20,464.57
  6. Step 6: Final answer
    x = 10,974.21

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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.