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Finding the Fourth Proportional to 5,684.85, 8,514.93 and 2,757

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Solution

The fourth proportional to 5,684.85, 8,514.93 and 2,757 is: 4,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.85 : 8,514.93 = 2,757 : x
  2. Step 2: Convert to fraction form
    5,684.85/8,514.93 = 2,757/x
  3. Step 3: Cross multiply
    5,684.85x = 8,514.93 × 2,757
  4. Step 4: Simplify right side
    5,684.85x = 23,475,662.01
  5. Step 5: Solve for x
    x = 23,475,662.01/5,684.85
  6. Step 6: Final answer
    x = 4,129.51

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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.