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Finding the Fourth Proportional to 6,514.92, 9,775.11 and 2,815.24

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Solution

The fourth proportional to 6,514.92, 9,775.11 and 2,815.24 is: 4,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.92 : 9,775.11 = 2,815.24 : x
  2. Step 2: Convert to fraction form
    6,514.92/9,775.11 = 2,815.24/x
  3. Step 3: Cross multiply
    6,514.92x = 9,775.11 × 2,815.24
  4. Step 4: Simplify right side
    6,514.92x = 27,519,280.68
  5. Step 5: Solve for x
    x = 27,519,280.68/6,514.92
  6. Step 6: Final answer
    x = 4,224.04

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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.