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Finding the Fourth Proportional to 6,169.57, 8,514.08 and 3,746.23

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Solution

The fourth proportional to 6,169.57, 8,514.08 and 3,746.23 is: 5,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.57 : 8,514.08 = 3,746.23 : x
  2. Step 2: Convert to fraction form
    6,169.57/8,514.08 = 3,746.23/x
  3. Step 3: Cross multiply
    6,169.57x = 8,514.08 × 3,746.23
  4. Step 4: Simplify right side
    6,169.57x = 31,895,723.20
  5. Step 5: Solve for x
    x = 31,895,723.20/6,169.57
  6. Step 6: Final answer
    x = 5,169.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.