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Finding the Fourth Proportional to 6,170.77, 8,514.07 and 3,482.38

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Solution

The fourth proportional to 6,170.77, 8,514.07 and 3,482.38 is: 4,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.77 : 8,514.07 = 3,482.38 : x
  2. Step 2: Convert to fraction form
    6,170.77/8,514.07 = 3,482.38/x
  3. Step 3: Cross multiply
    6,170.77x = 8,514.07 × 3,482.38
  4. Step 4: Simplify right side
    6,170.77x = 29,649,227.09
  5. Step 5: Solve for x
    x = 29,649,227.09/6,170.77
  6. Step 6: Final answer
    x = 4,804.79

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Half scale
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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.